a ring,solid cylinder ,solid sphere roll down on the same inclind plne they strt from rest which of th e bodies reaches the ground faster???

The acceleration depends on the moment of inertia.

 

 

Moment of inertia for the given object, 

 

I ( ring)                = MR²

 

I (solid sphere)     = 2/5 MR²

 

I ( solid cyllinder)  = 1/2 MR²

 

Heigher is the moment of inertia lower is its acceleration.

 

 

I (solid sphere)   <  I ( solid cyllinder)  <  I ( ring)

 

 

Ring will reach to the ground first.

 

I know that the higher the moment of inertia the lower the acceleration

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I know that the higher the moment of inertia the lower the acceleration but how do I prove it?

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