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6. A string PQRS attached to two fixed point P and S has two equal weight of 500N attached to Qand R. The weight rests with the portions PQ and RS inclined at angles 30 and 60 respectively to thevertical as shown .Find the tensions in string if the inclination of the position QR with the vertical is 120 .

Fig dUnder Moments

7. A loaded cantilever beam is shown in fig a. Find the moment of force about O. (Ans: 21545.94Nm)

1500N 750N

45

9m16m

8. A force F=6i-3j-4k N is acting at a point P whose position vector from the origin O is 8i+6j-4k mm.Find the moment of the force about the origin. (Ans:36i+8j-60k N-mm)

9. A force of 200N is directed along the line drawn from the point A (8,2,3)m to the pointB(2,-4.4,7.8)m.Find the magnitude of the force about Z axis. (Ans: 784 Nm CCW)

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Coplanar Forcer(Resolution and Composition of forces)

10. Three forces of magnitude 40KN, 15KN and 20KN are acting at a point O as shown in the fig.The

angles made at by 40KN,15KN, and 20KN forces with X axis are 60 ,120 ,240 respectively.Determinethe Magnitude and direction of the resultant force (Ans: R=30.14KN, = 85)

Y

15KN 40KN

12060

240 X

20KN

11 If five forces act on a particle as shown in the figure and if the algebraic sum of the horizontal

components of all forces is -300KN. Calculate the magnitude of force F and the resultant of all the forces.

Y

200KN 250KN

F 200KN

3

430 45

75KN X

Force in Space

12. A force of 500N of angle 60 ,45 ,120 respectively with x,y and z axes. Find Fx , Fy and Fz of theforce. ( Ans F = 250i +353.55j -250k)

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13. Determine the resultant of the three forces F1 = 2.0i+3.3j-2.6k, F2=-1i+5.2j-2.9k and F3=8.3i-6.6j-5.8k

Which are concurrent a the point(2,2,-5).The forces are in Newton and the distances are in metre.

14. Members OA,OB and OC forms a three member truss. A weight of 10KN is suspended at the jointO.Determine the magnitude and nature of forces induced in each the members of the frame.

Support and Reactions````

15. Determine the reactions at A and B.

50KN 20KN 30KN

60 40

` A B

C D E

20 cm 40cm 70cm 40cm

16 A beam AB of 6m long is loaded as shown in the figure below. Determine the reactions at A and B.10KN 20KN

1.5KN/m

A 140 B

6m

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17. Determine the reaction at the two ends of the beam

50N 30N 18N 6N

70 C D 30 E

A B

200mm 150mm 600mm 150mm

Knife Edge

18. Calculate the magnitude of the resultant force about the corner B.

4KN

A 15KN 60B

5KN 10 2 KN 2.5m

B C

3m

19. A rigid bar is subjected to a system of parallel forces. Reduce the system toi) single force ii) Single force moment about A iii) Single force moment about B.

16N 62N 10N 30N

40cm 30cm 50cm

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20. Four forces are acting along the side a square ABCD of side 2m as shown below. In addition anotherforce is acting along the diagonal CA. Calculate the resultant moment about the corner B.

A 2 KN B

3 KN 8KN 4.2KN

D C2.8KN

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