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DATTA MEGHE INSTITUTE OF ENGINEERING,TECHNOLOGY & RESEARCH

SAWANGI (MEGHE), WARDHA

B.E. FIRST YEARSECOND SESSIONAL TEST 2010-2011

Subject: ENGG. MECHANICS Section:B & E

Time: 1.45 Hr. Max.Marks: 40

Note: i) Answer TWO questions from Section A and TWO questions fromSection B.

ii) Illustrate your answers wherever necessary with the help of neatsketches.

iii) Assume suitable data wherever necessary.

Section A

Q.01 Reduce the given force system to a wrench and locate the point of

intersection of wrench axis with the X-Y plane. F = 30i + 15j + 30k

passing through origin and a couple M = 125i - 70j + 90 k .10

Q.02 a) What do you understand by the term Free Body Diagram?Illustrate your answer with a few sketches.

02

b) Three identical cylinders each weighing W are stacked as shownin Fig.01 on smooth inclined surfaces at an angle with thehorizontal. Determine the smallest angle to prevent the cylindersfrom collapsing. 08

6m 6m12m

8m

12m12m

20k

N

30k

N

A B C

DE F

43

25kN

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Fig.01 Fig.02

Q.03 a) State the assumptions made in the analysis of truss.02

b) Determine the magnitude and nature of the force in eachmember of the truss shown in Fig.02.

08

Section B

Q.04 a) A bracket is subjected to a coplanar force system as shown infigure. Determine magnitude and line of action of single resultant of the system. 05

b) Three concurrent forces P, T & F have a resultant of 10N directedforward and upto the right at x = 60, y = 60, z = 60, P = 21Nand passes from origin through point (3,2,6). The value of T = 18Nand is directed from the origin towards point (-6,6,-3),determine the magnitude of third force and its direction. 05

Q.05 a) The wheel loads of a small tractor crossing a 18m span areshown in figure. Determine the distance x at which the supportreaction at A is twice that at B. 05

b) In a lifting machine an effort of 15N raised a load of 770N. Whatis the mechanical advantage? Find the velocity ratio of theefficiency at this load is 60%. If on the machine an effort of 25Nraised a load of 1320N, what is the efficiency? What will be the

effort required to raise a load of 500N? Calculate the maximum

6m

x

BA

1.8kN 0.60k

N

18m

60 CBA

400N

50Nm

300N

200N

30cm 20cm

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mechanical advantage and the maximum efficiency.05

Q.06 a) State the principle of Virtual Work.02

b) Using the virtual work method, find the reactions at A, B and Cfor the beam loaded as shown in figure.

08

FED BA C

5kN

10kN

20kNm

2m2m 2m 2m1m 1m