First slide

Dynamics of rotational motion about fixed axis

Question

A wheel of radius 10 cm can rotate freely about its centre as shown in figure. A string wrapped over its rim is pulled by a force of 5N. It i" observed that the torque produces angular acceleration of 2 rad s^-2 in the wheel. What is the moment of inertia of the wheel? [NEET 2016]

Moderate

A

$0.25 kg - m^{2}$
B

$0.45 kg - m^{2}$
C

$0.15 kg - m^{2}$
D

$0.16 kg - m^{2}$

Solution

Torque, $τ = I α$ or moment of inertia of wheel $I = \frac{τ}{α}$
Moment of inertia of wheel, $I = \frac{5 \times 10 \times 10^{- 2}}{2} kg - m^{2}$
$= 0.25 kg - m^{2}$

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