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Work Power Energy question bank (Physics)

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Q1.

A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizontal and moment of inertia about it is I. A weight mg is attached to the end of the cord and falls from rest. After falling through a distance h, the angular velocity of the wheel will be

(A)

$\sqrt{2gh}$

(B)

$\left[\dfrac{2mgh}{I + 2mr^2}\right]^{\dfrac{1}{2}}$

(C)

$\left[\dfrac{2mgh}{I + mr^2}\right]^{\dfrac{1}{2}}$

(D)

$\left[\dfrac{2gh}{I + 2mr}\right]^{\dfrac{1}{2}}$

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Q2.

A particle is whirled in a vertical circle of radius $R$. If its velocity at the lowest point is just enough to complete the circle ($u = \sqrt{5gR}$), then the magnitude of its total acceleration when the string becomes horizontal is ($g$ is acceleration due to gravity).

(A)

$3g$

(B)

$g$

(C)

$10g$

(D)

$g\sqrt{10}$

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