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

Related Mcqs:

1. 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

2. 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

3. 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

4. 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

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. 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

7. 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

8. 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

9. A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about__________________?

   A. 1/4
   B. 1/3
   C. 1/2
   D. 1/5

   Assume g = 10 m/sec2

10. 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)