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Q.

A circular disc is rotating about its own axis. An external opposing torque 0.02Nm is applied on the disc by which it comes to rest in 5 seconds. The initial angular momentum of disc is

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a

$0.01 {kgm}^{2} s^{- 1}$

b

$0.04 {kgm}^{2} s^{- 1}$

c

$0.025 {kgm}^{2} s^{- 1}$

d

$0.1 {kgm}^{2} s^{- 1}$

answer is A.

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Detailed Solution

$τ = 0.02 Nm$

$\begin{aligned} t = 5 s \\ L_{1} = ? L_{2} = 0 \end{aligned}$

$τ = \frac{L_{2} - L_{1}}{t}$

$0.02 = \frac{0 - L_{1}}{5}, L_{1} = 0.1 {kgm}^{2} s^{- 1}$

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A circular disc is rotating about its own axis. An external opposing torque 0.02Nm is applied on the disc by which it comes to rest in 5 seconds. The initial angular momentum of disc is