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Q.

Figure shows a flywheel of radius 10 cm. Its moment of inertia about the rotation axis is 0.4 kg-m². A massless string passes over the flywheel and a mass 2kg is attached at its lower end. Angular acceleration of the pulley is nearly

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a

9.6 rad/s²

b

4.8 rad/s²

c

3.2 rad/s²

d

6.2 rad/s²

answer is A.

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Detailed Solution

Question Image

For block, mg - T = ma
For pulley, TR $= Iα$
$\begin{array}{ll} \Rightarrow a = \frac{mg}{m + I / R^{2}} \\ and α = \frac{a}{R} \end{array}$

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Figure shows a flywheel of radius 10 cm. Its moment of inertia about the rotation axis is 0.4 kg-m2. A massless string passes over the flywheel and a mass 2kg is attached at its lower end. Angular acceleration of the pulley is nearly