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Question

A circular disc rolls down an inclined plane, the fraction of its total energy associated with its rotation is ________ .

एक गोलाकार डिस्क एक झुके हुए तल पर लुढ़कती है, इसके घूर्णन से जुड़ी कुल ऊर्जा का अंश ________ है।

A.

1/2

B.

1/3

C.

1/4

D.

2/3

Answer ( Option B)

1/3

Solution

We know that, mass moment of inertia of circular solid disc,

Angular velocity  

Now, kinetic energy of rotation is given by,

Kinetic energy of translation is given by,

Total kinetic energy,

Fraction of its total energy associated with its rotation energy,

            

Hence, the correct option is (B).

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