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 ?

Related Mcqs:

1. 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

2. A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is_____________________?

   A. 1/4
   B. 2/3
   C. 3/4
   D. 4/3

3. 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

4. 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

5. 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

6. A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is________________?

   A. (1/3) g sinB
   B. (2/3) g cos 9
   C. (2/3) g sin 0
   D. g sin 9

   where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal

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 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

9. At the instantaneous center, the velocity of the moving lamina at any instant is_________________?

   A. zero
   B. maximum
   C. minimum
   D. varying

10. Instantaneous center is at infinity when the angular velocity is _________________?

    A. constant
    B. zero
    C. maximum
    D. minimum