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A round uniform body of radius , mass  and moment of inertia , rolls down (without slipping ) an inclined plane making an angle  with the horizontal. Then its acceleration is

a)

b)

c)

d)



Question ID - 52600 | SaraNextGen Top Answer

A round uniform body of radius , mass  and moment of inertia , rolls down (without slipping ) an inclined plane making an angle  with the horizontal. Then its acceleration is

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (a) -

(a)

Assuming that no energy is used up against friction, the loss in potential energy is equal to the total gain in the kinetic energy.

Thus, 

or           

or              

If  be the distance covered along the plane,

Now,            

      or     

127 votes


127