Related Mcqs:

1. A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is____________________?

   A. 0.5 m
   B. 0.75 m
   C. 1.0 m
   D. 1.5 m

2. A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is___________________?

   A. 1/3
   B. 2/3
   C. 1/9
   D. 8/9

3. Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is____________________?

   A. 2/3
   B. 1/5
   C. 3/5
   D. 1/3

4. A body is dropped from a height of 100 m and at the same time another body is projected vertically upward with a velocity of 10 m/sec. The two particles will____________________?

   A. never meet
   B. meet after 1 sec
   C. meet after 5 sec
   D. meet after 10 sec

5. A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is_____________________?

   A. less than (1/3) tan 0
   B. less than (2/3) tan 0
   C. less than (1/3) sin 6
   D. less than (2/3) sin 6

6. A ladder of weight ‘w’ rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight ‘w’ is to walk to the top of it safely, is tan’1 x, where x is___________________?

   A. 1/4
   B. 1/3
   C. 3
   D. 4

7. A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec, . The work required to stop the hoop is______________?

   A. 2 J
   B. 4 J
   C. 6 J
   D. 8 J

8. A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?

   1) 1.0 in from the wall
   2) 1.732 m from the wall
   3) 1.0 m above the floor
   4) 1.732 m above the floor
   The correct answer is?

   A. (1) and (3)
   B. (1) and (4)
   C. (2) and (3)
   D. (2) and (4)

9. A rope is wrapped twice around a rough pole with a coefficient of friction ‘A . It is subjected to a force Fj at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to Fi is_____________________?

   A. 1
   B. e2*
   C. e4*
   D. e*72

10. A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is______________________?

    A. 3/4
    B. 4/5
    C. 5/3
    D. 3/5