Related Mcqs:

1. 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

2. 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)

3. A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan”1 x, where x is (Assume g = 10 m/sec2)_____________________?

   A. 3/8
   B. 1/2
   C. 9/5
   D. 5/8

4. 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

5. If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then___________________?

   1) a force is required to move the body upwards
   2) a force is required to move the body downward
   3) the body will not be in equilibrium
   The correct answer is?

   A. only (1)
   B. only (2)
   C. both (1) and (2)
   D. both (1) and (3)

6. 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

7. If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are___________________?

   A. 0 and 5 m/sec
   B. 5 m/sec and 0
   C. 5 V3 m/sec and 0
   D. 5 and 5V3 m/sec

8. 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

9. A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

   A. 15°
   B. 30°
   C. 45°
   D. 75°

10. A heavy ladder resting on floor and against a vertical wall may not be in equilibrium if________________?

    A. floor is smooth and wall is rough
    B. floor is rough and wall is rough
    C. both floor and wall are rough
    D. both floor and wall are smooth