KINEMATICS OF MACHINERY

QUESTION BANK

UNIT – I

MECHANISMS : Elements or Links – Classification – Rigid Link, flexible and fluid link – Types of

kinematic pairs – sliding, turning, rolling, screw and spherical pairs – lower and higher pairs – closed and

open pairs – constrained motion – completely, partially or successfully constrained and incompletely

constrained. MACHINES : Mechanism and machines – classification of machines – kinematic chain – inversion of

mechanism – inversion of mechanism – inversions of quadric cycle, chain – single and double slider crank

chains.

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1. i. Enumerate the inversions of a double slider-crank chain. Give examples.

ii. The length of the fixed link of a crank and slotted lever mechanism is 300 mm and that of the crank 110 mm. Determine,

i. the inclination of the slotted lever with the vertical in the extreme position.

ii. the ratio of the time of cutting stroke to the time of return stroke and

iii. the length of the stroke, if the length of the slotted lever is 500 mm and the line of stroke passes

2. i. What is the difference between quick return motion of crank and slotted lever type and that of whit

ii. Find the distance between the fixed centers of a Whitworth quick return motion mechanism if the

(Apr/May 09) 3. i. Define ‘Machine’ and ‘Mechanism’. How are these different from each other?

ii. Distinguish between structure and a machine.

iii. Explain completely, partially and incompletely constrained motion of a kinematic pair with examples.

(Apr/May 09) 4. i. Enumerate different types of mechanisms. Give examples for each type.

ii. In a crank and slotted lever type quick return motion mechanism, the driving link is 60mm. While the

iii. Describe Oldham coupling. Where is it used in practice? (Apr/May 09)

5. i. What do you mean by constrained motion? What are different types of constrained motions? Explain each

ii. Find the distance between the fixed centers of a Whitworth quick return motion mechanism if the length of

6. i. Enumerate different types of mechanisms. Give examples for each type. (Feb 08)

ii. In a crank and slotted lever type quick return motion mechanism, the driving link is 60mm. While the distance

7. i. Describe three practical applications of a Quadric cycle chain (Feb 08)

ii. In a Whitworth quick return motion mechanism, the length of the driving link is 75 mm while the distance

8. i. Define ‘Machine’ and ‘Mechanism’. How are these different from each other? (Feb 08)

ii. Distinguish between structure and a machine.

Explain completely, partially and incompletely constrained motion of a kine-matic pair with examples.

9. Enumerate the inversions of a double slider-crank chain. Give examples. (Nov 07)

10. The length of the fixed link of a crank and slotted lever mechanism is 300 mm and that of the crank 110 mm.

i. the inclination of the slotted lever with the vertical in the extreme posi-tion.

ii. the ratio of the time of cutting stroke to the time of return stroke and

iii. the length of the stroke, if the length of the slotted lever is 500 mm and the line of stroke passes through the

11. i. What is the difference between quick return motion of crank and slotted lever type and that of whit worth

ii.. Find the distance between the fixed centers of a Whitworth quick return motion mechanism if the length of

12. What is a Kinematic chain? What is the relation between the number of links and number of pairs in a

13. Give diagrammatic sketches of the following mechanisms and state on which Kinematic chain each mechanism

i. Oscillating cylinder engine

ii. Oldham shaft coupling

iii. Pendulum pump

iv. Scotch yoke mechanism

v. Watt’s indicator.

14. i. Discuss various types of Kinematic links with examples.

ii. Explain dierent types of constrained motions with examples. (Feb 07)

15. Sketch slider crank chain and its various inversions, stating actual machines in which these are used in

UNIT – II

STRAIGHT LINE MOTION MECHANISMS : Exact and approximate copiers and generated types –

Peaucellier, Hart and Scott Russul – Grasshopper – Watt T. Chebicheff and Robert Mechanisms and

straight line motion, Pantograph.

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1. Describe any one mechanism having all turning pairs that generate an exact straight line motion and

2. i. What is pantograph? What are its uses?

ii. Show that the pantograph can produce paths exactly similar to the ones traced out by a point on a link

3. i. Explain Scott Russell mechanism through a neat sketch. Show that it geneates a straight-line motion.

ii. What are the limitations of Scott Russell mechanism. (Apr/May 09)

4. i. Explain Scott Russell mechanism through a neat sketch. Show that it generates a straight-line motion.

ii. What are the limitations of Scott Russell mechanism. (Feb 08)

5. A torque of 75 N-m is applied to the link OA at A of a Gross-Hopper mechanism shown in figure 1. The link OA makes an angle of 20 degrees with the

horizontal. Find the magnitude of the vertical force exerted at B to overcome the resisting torque of 75 N-m. The lengths of the links are: OA=40 mm,

AC= 60 mm and CB= 150 mm. If the link OA makes an angle of 10 and zero degrees with the horizontal, what will be the vertical force at B

Fig.1

6. In a Watt mechanism of the type shown in figure 2. The links OA and QB are perpendicular to the link AB

Fig.2

7. i. Name the mechanisms that generate straight lines.

ii. Prove that the peaucellier mechanism generates a straight-line motion.

8. Explain the Scot-Russel mechanism and show that it generates straight-line motion. (Feb 07)

9. Explain the following mechanisms:

i. Grasshopper mechanism

ii. Tchebicheff’s mechanism

iii. Robert’s mechanism.

10. i. What is the purpose of a Pantograph? Explain it’s working with a sketch.

ii. Provide the mathematical proof for working of pantograph. (Feb 07)

11. i. What are straight line motion mechanisms? Name the dierent types of mechanisms used for straight line

ii .Sketch the Peaucellier straight line motion and prove that the tracing point ‘P’ describes a straight line

12. Show that the peaucellier mechanism generates an exact straight line as its path. (Nov 06)

13. Explain the Scot-Russel mechanism and show that it generates straight-line motion.

14. A grass hopper straight line mechanisms gets its motion from a crank OA. The end A of the crank in joined

straight line. Determine the radius of crank OA. Find also the maximum deviation of P from the vertical

15. Explain how Grass- Hopper mechanism and Watt mechanism generate approximate straight-line motion.

UNIT – III

KINEMATICS : Velocity and acceleration – Motion of link in machine – Determination of Velocity and

acceleration diagrams – Graphical method – Application of relative velocity method four bar chain.

Analysis of Mechanisms : Analysis of slider crank chain for displacement , velocity and acceleration of

slider – Acceleration diagram for a given mechanism, Kleins construction, Coriolis acceleration, determination of Coriolis component

of acceleration.

Plane motion of body : Instantaneous center of rotation, centroids and axodes – relative motion between

two bodies – Three centres in line theorem – Graphical determination of instantaneous centre, diagrams for

simple mechanisms and determination of angular velocity of points and links.

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1. A crank and rocker mechanism ABCD has the following dimensions: AB =0.75m, BC =1.25 m, CD =1 m,

Find

i. The instantaneous linear acceleration of C and F and

ii. The instantaneous angular velocities and accelerations of links BC and CD. (Apr/May 09)

2. i. State and Explain Kennedy’s theorem as applicable to instantaneous center of rotation of three bodies.

ii. In the mechanism shown in Figure 3. the crank OA makes 400rpm in the counter clockwise direction.

i. angular velocity of the link BA and

ii. velocity of the slider at A. The lengths of the links are OA= 60mm, OB= 220 mm and BC= 300mm.

Fig. 3

3. In the slider-crank mechanism shown in Figure 4, OA= 400 mm, AB=1400 mm and AE= 400 mm. When

i. the acceleration of the slider at B

ii. the acceleration of point E and

iii. the angular acceleration of link AB.

Figure 3c

4. In a Whitworth Quick return motion, a crank AB rotates about a fixed center A. The end B operates a slider recipr

configuration in which AB has turned an angle of 45o past its lowest position.

5. Explain the Klein construction for finding the velocity and acceleration in the fol-lowing mechanisms.

Single slider crank chain (Feb 08)

Four bar chain.

6. The mechanism shown in Figure the length of the various links are, OE = 15cm, AB = 40cm, BC = 60cm and

i. Coriolis component acceleration of E with respect to F

ii. Angular acceleration of link BC.

7. Figure shows a worth whit quick return motion mechanism. The various dimen-sions in the mechanism are

OQ = 100 mm; OA = 200 mm; QC = 150 mm and CD = 500 mm.

The crank OA makes an angle of 600 with vertical and rotates at 120 rpm in the clockwise direction.

Locate all the instantaneous centers and find the velocity of ram D.

8. The crank and connecting rod of a steam engine are 12 cm and 60 cm respectively. The centre of gravity of the connec

9. i. Velocity and acceleration or piston (Feb 08)

ii. Angular velocity and angular acceleration of connecting rod.

iii. Velocity and acceleration or the centre of the granity or the connecting and for the crank position at 300 from the inner dead center.

10. The crank OP of a crank and slotted lever mechanism shown in figure 3. rotates at 200 rpm in the counter- clockw

also the maximum velocity of the slider. (Nov 07)

11. In the mechanism, as shown in Figure , the crank OA rotates at 20 r.p.m anticlockwise and gives motion

For the given configuration, determine:

i. Velocities of sliding at B and D

ii. Angular velocity of CD

iii. Linear acceleration of D and

iv Angular acceleration of CD. (Feb 07)

12. An engine mechanism ABC has a crank AB of length 4 cm rotating about A. The connecting rod BC is 12

required at the crank to accelerate the piston C at this position? (Feb 07)

13. In the slider crank mechanism shown in Figure block P reciprocates along the fixed line AB and the crank has a

14. In the Atkinson engine mechanism shown in Figure 2 the velocity and acceleration of the slider at D are

15. In a quick return mechanism, as shown is Figure 1, the driving crank OA is 60 mm long and rotates at a

i. velocity of the ram R

ii. acceleration of the ram R; and

iii. acceleration of the sliding block A along with the slotted bar CD. (Feb 07,Nov 05)

UNIT – IV

STEERING Mechanisms : Conditions for correct steering – Davis Steering gear, Ackermans steering

gear – velocity ratio.

HOOKE’S JOINT : Single and double Hooke’s joint – Universial coupling – application – problems.

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1. i. Differentiate between Davis and Ackermann steering gears.

ii. In a Davis steering gear, the length of the car between axles is 2.6 m and the steering pivots are 1.45 m

iii. Sketch polar velocity diagram of a Hooke’s joint and mark its salient features. (Apr/May 09)

2. The distance between the pivots of the front stub axles of a car is 130 cm, the length of track rod is 120 cm, the w

(Apr/May 09)

3. i. What is a Hooke’s joint ? What are its applications?

ii. Determine the maximum permissible angle between the shaft axes of a universal joint if the driving shaft

iii. In a double universal coupling joining two shafts, the intermediate shaft is inclined at 100 to each. The

shaft is 500rpm. Also find the coefficient of fluctuation in speed. (Apr/May 09)

5. i. Sketch polar velocity diagram of a Hooke’s joint and mark its salient features.

ii. The angle between the axes of two shafts joined by Hooke’s joint is 20o. The driving shaft rotates at a uniform

vary by more than 12% of the input shaft. (Feb 08)

6. i. What conditions must be satisfied by the steering mechanism of a car in order that the wheels may have a pure

ii. A Hooke’s joint connects a shaft running at a uniform speed of 1200 rpm to a second shaft, the angle between

driving shaft during a revolution, the angular velocity of the driven shaft is the same as that

7. i. What is a double Hooke’s joint? State the conditions to be satisfied in a double Hooke’s joint in order to

ii. The angle between the axes of two shafts connected by a Hooke’s joint is 22.5 degrees. The power supplied to

(Feb 08) 8. i. Explain Ackermann steering gear with a neat sketch. (Feb 08)

ii. For an Ackermann steering gear, derive the expression for the angle of incli-nation of the track arms to longitudinal

iii. Differentiate between the Ackermann type and Davis type steering gears.

9. Derive the fundamental equation for correct steering. (Nov 07)

10. What are the relative merits and demerits of the Ackermann type of steering gear over that of Davis type?

(Nov 07) 11. Two shafts are to be connected by a Hooke’s joint. The driving shaft rotates at a uniform speed of 500rpm and

12. Explain Davis steering gear with a neat sketch.

13. For a Davis steering gear, derive the expression for the angle of inclination of the track arms to longitudinal axis

14. In a Davis steering gear the distance between the pivots of the front axle is 90 cm and the wheelbase is 220 cm. When the vehicle is moving along a straight

15. Describe the working of a Hooke’s joint with a neat sketch. Also prove that the ratio of angular velocity of the driven shaft to that of the driving shaft with a

UNIT – V

CAMS : Definitions of cam and followers – their uses – Types of followers and cams – Terminology –

Types of follower motion - Uniform velocity – Simple harmonic motion and uniform acceleration. Maximum

velocity and maximum acceleration during outward and return strokes in the above 3 cases.

Analysis of motion of followers : Roller follower – circular cam with straight, concave and convex

flanks.

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1. i. Define cam and follower. What are various motions possible with combination of cam and followers?

ii. The following data relate to a cam profile in which the follower moves with uniform acceleration and

Angle

and the return stroke. (Apr/May 09)

2. i. Explain the contribution of cam profile for simple harmonic motion to the knife edge follower of the cam.

ii. A flat-faced mushroom follower is operated by a uniformly rotating cam. The follower is raised through

uniform acceleration and deceleration. However, the uniform acceleration is 2/3 of the unifo

uniform acceleration and deceleration during lowering of the follower.

(Apr/May 09) 3. i. Define pitch curve, pressure angle and base circle with reference to cams.

ii. A reciprocating roller follower has cycloidal motion and its stroke of 30 mm is completed in 900 of the

(Apr/May 09) 4. i. Define following terms with reference to cams. (Feb 08)

i. Angle of Dwell.

ii. Pressure angle.

iii. Angle of action.

ii. The following data relate to a cam operating an oscillating roller follower: Minimum radius of cam = 44mm.

Angle of oscillation of follower = 28

5. i. Define cam. What are the uses of cam & follower? (Feb 08)

ii. Construct the profile of a disk cam with translating flat follower with the following data: Rise 3 cm with

cam rotates in a counterclockwise direction. Check

6. i. Derive an expression for displacement, velocity and acceleration of a tangent cam with roller follower. When

ii. A tangent cam with straight working faces tangential to a base circle of 120mm diameter has a roller follower of

determine the acceleration of the follower when

i. During the lift, the roller just leaves the straight flank.

ii. The roller is at the outer end of its lift, i.e at the top of the nose

7. i. Derive an expression for displacement, velocity and acceleration of a circular arc cam with flat faced follower

ii. Layout the profile of a cam so that the follower

i. Is to move outwards through 30mm during 1800 of cam rotation with cycloidal motion.

ii. Dwell for 200 of the cam rotation.

iii. Returns with uniform velocity during the remaining 1600 of the cam ro-tation.

The base circle diameter of the cam is 28mm and the roller diameter 8mm. The axis of the follower is offset by 6mm

8. i. Explain with the help of displacement, velocity and acceleration diagrams, a uniform acceleration and uniform

ii. Draw the profile of a cam operating a roller reciprocating follower and with the following data: Minimum

acceleration and deceleration followed by a dwell period. If the cam rotates at a uniform speed of 150 rpm, cal

9. i. With the help of neat sketches explain the types of cams and followers. (Nov 07)

ii. Draw the profile of a cam operating a knife-edge follower having a lift of 30mm. The cam raises the follower with

120rpm and has a least radius of 20mm. What will be the maximum velocity and acceleration of the

10. i. With the help at neat sketches explain the types of cams. (Nov 07)

ii. A cam is to operate an offset roller follower. The least radius of the cam is 50mm, roller diameter is 30mm, and

cam profile. Also calculate the maximum velocity and acceleration during descent.

11. A cam operating a knife - edged follower has the following data:

i. Follower moves outwards through 40mm during 600 of cam rotation.

ii. Follower dwells for the next 450.

iii. Follower returns of its original position during next 900.

iv. Follower dwells for the rest of the rotation. (Feb 07)

12. The displacement of the follower is to take place with simple harmonic motion during both the outward and re

of the follower during the outward stroke and the return stroke.

13. A radial translating flat - face follower has a lift of 3 cm. The rise takes place with SHM for 1800 of cam

both the ends. Assume anticlockwise rotation of the cam. What are the maximum velocity and accelerations values during

the follower rise when cam rotates at 50 r.p.m.

14. The following data relate to a circular cam operating a flat faced follower Least diameter = 40 m.m

Lift = 12 m.m.

Angle of action = 1600

Speed = 500 r.p.m.

If the period of acceleration of the follower is 60% of the retardation during the lift determine

i. The main dimension of the cam

ii. The acceleration of the main points

iii. What is the maximum acceleration and deceleration during the lift? (Nov 06)

15. A flat ended valve tappet is operated by a symmetrical cam with circular arcs for flank and nose profiles.

cam axis. Find

i. Radii of the nose and flank, and

ii. Maximum acceleration and retardation during the lift. (Nov 06)

UNIT – VI

Higher pairs, friction wheels and toothed gears – types – law of gearing, condition for constant velocity ratio

for transmission of motion, Form of teeth: cycloidal and involute profiles. Velocity of sliding – phenomena

of interferences – Methods of interference.

Condition for minimum number of teeth to avoid interference, expressions for arc of contact and path of

contact – Introduction to Helical, Bevel and worm gearing.

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1. i. Explain Bevel gear, worm gears and helical gears.

ii. A pair of 200 pressure angle gears in mesh have the following data: Speed of pinion = 400rpm

Number of teeth on pinion = 24

Number of teeth on gear = 28

Determine the addendum of the gears if the path of approach and recess is half the maximum value.

2. i. Make a comparison of cycloidal and involute teeth forms.

ii. Two 200 involute spur gears have a module of 10mm. The addendum is equal to one module. The larger

3. i. Explain how can involute profile of gear teeth be formed.

ii. A pair of 200 pressure angle gears in mesh have the following data: Speed of pinion = 400rpm

Number of teeth on pinion = 24

Number of teeth on gear = 28

Determine the addendum of the gears if the path of approach and recess is half the maximum value.

(Apr/May 09) 4. i. Explain the methods of eliminating interference in gears.

ii. Two 200 gears have a module pitch of 4mm. The number of teeth on gears 1 and 2 are 40 and 24

5. i. Deduce an equation for velocity of sliding of gears. (Feb 08)

ii. Two spur gears of 24 teeth and 36 teeth of 8mm module and 200 pressure angle are in mesh. Addendum of each

6. i. What is standard system of gears? How does it ensure interchangeability of gears? (Feb 08)

ii. Two 200 involute spur gears have a module of 10mm. The addendum is one module. The larger gear has 50 teeth and the

changedtoeliminate interference?

7. i. State and derive law of gearing. (Feb 08)

ii. Following data relate to two meshing involute gears:

Number of teeth on the gear wheel = 60, Pressure angle = 200, Gear ratio = 1.5, Speed of the gear wheel = 100rpm, modul

8. A cam rotating at 150 R.P.M. operates a reciprocating roller follower of radius 2.5 cm. The follower axis is offset by 2.5

during 900 of cam rotation. Dwell between ascent and descent is 600. Draw an acceleration diagram and mark salient

uniform acceleration and retardation. Ascent takes place during 750 and descent during 90

9. A cam with a minimum radius of 25 mm rotating clock wise at uniform speed is to be designed to give a roller follower at the end of a value rod motion described

i. To raise the valve through 50mm during 1300 of rotation of cam

ii. To keep the valve fully raised through next 300

iii. To lower the valve during next 600 and

iv To keep the valve closed during rest of the revolution of 1400.

The diameter of the roller is 20 mm and the diameter of the cam shaft is 25mm. Draw the profile of the cam when the line of stroke of the valve rod pass through

11. Define addendum circle, dedendum circle, arc of contact of gears. (Nov 07)

12. Two gears in mesh have a module of 8mm and a pressure angle of 200. The larger gear has 57 while the pinion has 23 teeth. If the addenda on pinion and

i. the number of pairs of teeth in contact

ii. the angle of action of the pinion and the gear wheel

iii. the ratio of the sliding to rolling velocity at

A.the beginning of contact

B.the pitch point

C.the endofcontact

13. i. Explain atleast eight properties of involute toothed gear in mesh.

ii. If the angle of obliquity of a pair of gear wheels is 200, and the arc of approach or recess not less than the

14. i. Name the curves, which satisfy the condition for, correct gearing and compare them giving atleast six

ii. A gear wheel having 20 teeth of involute form of module pitch 6 mm with an angle of obliquity of 200,

Calculate

i. the length of the arc of contact if the addendum is one module.

ii. If the addendum was altered so that the arc of contact was the maximum possible what would be the length

15. i. Define the following: Involute, Cycloid, Epicycloid and Hypocycloid.

ii. Two mating involute spur gears with module pitch of 8 mm have 23 and 57 teeth of 200 pressure angle. The addenda on

pinion and gear are equal to one module. Find:

i. number of pairs of teeth in contact, (Feb 07)

ii. angle turned through by pinion and gear wheels, and

iii. ratio of sliding velocity to rolling velocity at the beginning of the contact, at the pitch point and at the

UNIT-VII

Belt Rope and Chain Drives : Introduction, Belt and rope drives, selection of belt drive- types of belt drives,V-belts, materials used

for belt and rope drives, velocity ratio of belt drives, slip of belt, creep of belt, tensions for flat belt drive, angle of contact, centrifugal

tension, maximum tension of belt, Chains- length, angular speed ratio, classification of chains.

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1. A casting having a mass of 100kg is suspended freely from a rope. The rope makes 2 turns round a drum

Take ¼ = 0.3.

2. i. Derive an expression for velocity ratio of belt drive

ii. Design a set of stepped pulleys to drive a machine from countershaft that runs at 220 rpm. The distance

(Apr/May 09)

3. An open belt drive connects two pulleys 1.5m and 0.5m diameter on parallel shafts 3.5m apart. The belt has

coeffi

i. torque on each shaft

ii. Power transmitted,

iii. power lost in friction, and

iv. efficiency of the drive. (Apr/May 09)

4. A belt is required to transmit 40kW from a pulley 1.5m diameter running at 300rpm. The angle of contact is spread over 11/24

belt materialis1100 kg/m3. (Feb 08)

5. Determine the number of turns a hauling rope must be wound round a rotating capstan in order to haul 10 trucks, each having a mass of 3000 kg up

6. In a belt drive, the mass of the belt is 1 kg/m length and its speed is 12m/s. The drive transmits 19.2kW of power. Determ

7. i. Discuss about selection of belt drive. (Feb 08)

ii. A shaft runs at 80 rpm and drives another shaft at 150rpm through belt drive. The Diameter of the driving pulley is 600mm. Determine the diameter of the

i. Neglecting belt thickness.

ii. Taking belt thickness as 5mm.

iii. Assuming for case (ii) a total slip of 4% and

iv. Assuming for case (ii) a slip of 2% on each pulley.

8. i. Explain the gears used for Intersecting Shafts with neat sketches? (Feb 08)

ii. The number of teeth on the gear and the pinion to two spur gears in mesh are 30 and 18 respectively. Both the gears have module of 6 mm and a pressure angle of 20

velocity of sliding?

9. A leather belt 150mm wide 6mm thick and weighing 6 N/m length connects two pulleys each 1m in diameter and on parallel shafts. The belt is foun

(Nov 07) 10. A machine which is to rotate at 400 rpm is run by an engine turning at 1500rpm, through a silent chain, having a pitch

11. Two pulleys on parallel shafts are connected by a crossed belt. The diameters of the pulley are 450

13. Derive an expression for ratio of tensions of a belt drive in standard form (00)

14. i. Obtain the conditions for the maximum power transmitted by a belt from one pulley to another.

ii. A belt of mass density 1 gm/cm3 has a maximum permissible stress of 250 N/cm2. Determine the

15. i. Distinguish between open and crossed belt drives.

ii. Two pulleys of diameters 12 cm and 40 cm. which are 30 cm apart are used to transmit power? If both the pul

UNIT – VIII

GEAR TRAINS: Introduction – Train value – Types – Simple and reverted wheel train – Epicyclic gear Train. Methods of finding train value or velocity ratio –

Epicyclic gear trains. Selection of gear box-Differential gear for an automobile.

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1. An epicyclic gear train consists of three gears 1,2 and 3 as shown in figure . The internal gear 1 has 72

(Apr/May 09)

2. Figure shows an epicyclic train known as Ferguson’s paradox. The gears have number of teeth as

with th

(Apr/May 09)

3. i. What is gear train? What are its main types?

ii. In a reduction gear shown in figure , the input gear S has 24 teeth, P and C constitute a compound

4. i. Give a list of the common applications of planetary gear trains. Describe the working of the differential

ii. In the planetary gear train shown in figure , gear 1 has 50 teeth and gear 3 has 90 teeth. Determine the

5. i. Discuss about torques in epicyclic gear trains.

ii. In the epicyclic gear train shown in figure 8b, the compound wheels A and B as well as internal wheels C and D rotate indepen

TA = 52,T

B = 56,T

E = T

F = 36

Determine the speed of C if

i. the wheel D is fixed and arm a rotates at 200rpm clockwise.

ii.The wheel D rotates at 20rpm counter-clockwise and the arm a rotates at 200rpm clockwise.

6. The speed ratio of the reverted gear train shown in figure 8 is to be 12. The module of gears A and B is 3.125mm

7. In an epicyclic gear train, as shown in figure , the number of teeth on wheels A, B, and C are 50, 25, and 52

i. speed of wheel C when A is fixed, and ii.

8. A shaft Y is driven by a co-axial shaft X by means of an epicyclic gear train, as shown in Figure 8. The wheel

respectively 20,64,80,30 and 50 and the shaft X makes 600 r.p.m. determine the speedinr.p.m. and

9. A reverted epicyclic gear train for a hoist block is shown in Figure 8. The arm E is keyed to the same shaft

together on a pin carried at the end of arm E. The wheel D has internal teeth and is fixed

D when the speed of A is ten times the speed of arm

10 i. Explain about automotive differential. (Nov 07)

ii. An epicyclic gear consists of a pinion, a wheel of 40 teeth and an annulus with 84 internal teeth concentric

11. An epicyclic bevel gear train, as shown in Figure 2 has fixed gear B meshing with pinion C. The gear E on the dr

= 70. Find the speed of the driven shaft, if 1. The driving shaft make 1000 r.p.m. and 2. The gear B turns in the same sense as

the driving shaft at 400 r.p.m. the driving shaft still making 1000 r.p.m.

(Feb 07)

12. In an epicyclic train an annular wheel A having 54 teeth meshes with a planet wheel B which gears with a

and th

13. In the epicyclic reduction gear as shown in Figure 8 the sunwheel D has 20 teeth and is keyed to the input

30 kW. (Nov 06)

14. Figure 8 shows an epicyclic gear train with the following details: A has 40 teeth external (fixed gear); B has 80 teeth interna; C

Determine the speeds for gears C,E, and B.

15. i. What are the different types in epicyclic gear trains.

ii. A pinion A has 15 teeth and is rigidly fixed to a motor shaft. The wheel B has 20 teeth and gears with A and also w

about the shaft on which A is fixed. If the motor runs at 1000 rpm, find the speed of the machine.