1. The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium , The angle should be
A. 30° B. 40° C.45° D. 60°
2. A particle moves in the XY plane under the influence of a force such that its linear momentum is p(t)=A[cos(kt) i^ - sin(kt) j^] , where A and k are constants.The angle between the force and momentum is-
A. 0° B. 40° C. 30° D. 90°
Solution: Ans: 90° see Solution
3. What is the maximum value of force such that The block shown in the arrangement does not move
A. 20N B. 10N C. 12N D.15N
4. A string of negligible mass going over a damped pulley of mass m supports a block of mass M shown in the figure. The force on the pulley by the camp is given by-
Solution: Ans See Solution 
5. A block P of mass m is placed on a horizontal frictionless table. A second block Q of same mass m is placed on it and is connected with a spring of spring constant k. Two blocks are pulled by a distance The block Q oscillate with out sleeping.what is the maximum value of frictional force between the two blocks .
A. KA/2 B. KA. C. 0 D. mg×coefficient of friction.
Solution: kA/2 See solution here in Bengali language
6. A train has to negotiate a curve of 400m . By how much should the outer rail be rise with respect to inner rail for a speed of 48 km/h? The distance between the rail is 1m.
A. 0.0045m B.0.045m C.0.45m D.4.5m
7.An electrical bulb Suspended from the roof of a railway train by a flexible wire shifts through an angle of 45° when the train goes horizontally round a curve path of 200m radius , Find the speed of the train.
A. 44.7 m/s B. 90.44m/s C.60.07 m/s D. 75.03 m/s
8.A body of mass M starts sliding down on an inclined plane where the critical angle is 30° as shown in the figure. The Coefficient of kinetic friction will be.....
9. Masses m and M on a pulley move 0.6m in 4 s as shown in the figure. What is the ratio of m/M ?
A. 55/57 B. 49/50 C. 57/55 D. 117/113
10. A body takes t time to reach the bottom of an inclined plane of angle ϴ with the horizontal. If the plane is made rough, time taken now is 2t . The Coefficient of friction of the rough surface is
A. (3/4)tanϴ B. (2/3) tanϴ C.(1/4)tanϴ D. (1/2)tanϴ
