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A body is rolling down an inclined plane. Its translational and rotational kinetic energies are equal. The body is a

a)

Solid sphere

b)

Hollow sphere

c)

Solid cylinder

d)

Hollow cylinder


Question ID - 53251 | Toppr Answer

A body is rolling down an inclined plane. Its translational and rotational kinetic energies are equal. The body is a

a)

Solid sphere

b)

Hollow sphere

c)

Solid cylinder

d)

Hollow cylinder

1 Answer - 5876 Votes

3537

Answer Key : (d) -

(d)

When a body rolls down an inclined plane, it is accompanied by rotational and translational kinetic energies.

Rotational kinetic energy

Where  is moment of inertia and  the angular velocity.

Translational kinetic energy

where  is mass,  the velocity and  the angular velocity.

Given,

  Translational KE=rotational KE

Since,         

We know that  is the moment of inertia of hollow cylinder about its axis is where  is mass of hollow cylinderical body and  the radius of cylinder.



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