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________________?

Related Mcqs:

1. A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is_______________?

   A. (1/3) g sin0
   B. (2/5) g sin 0
   C. (3/7) g sin 0
   D. (5/7) g sin0

   where g is acceleration due to gravity

2. 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

3. If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is__________________?

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

4. A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first ?

   A. sphere with greater rotational energy at bottom than cylinder
   B. sphere with lesser rotational energy at bottom than cylinder
   C. cylinder with greater rotational energy at bottom than sphere
   D. both reach the bottom simultaneously with equal rotational energy at bottom

5. A disc of mass 4 kg, radius 0.5m and moment of inertia 3 kg-m2 rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is ___________________?

   A. 50 J
   B. 150 J
   C. 200 J
   D. 400 J

6. The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is_______________?

   A. less than 1
   B. equal to 1
   C. between 1 and 2
   D. greater than 2

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. When a body slides down an inclined surface, the acceleration of the body is given by__________________?

   A. g
   B. gsinG
   C. g cos 6
   D. g tan 6

   where ‘g’ is acceleration due to gravity and 9 is the angle of inclination of surface with the horizontal

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