First slide

Torque

Question

A torque of 2 N-m produces an angular acceleration of 2 rad/sec² in a body. If its radius of gyration is 2m, its mass will be :

Easy

A

2 kg
B

4 kg
C

$\frac{1}{2} kg$
D

$\frac{1}{4} kg$

Solution

$τ = Iα = {MK}^{2} α \Rightarrow M = \frac{τ}{K^{2} α} = \frac{2}{2^{2} \cdot 2} = \frac{1}{4} kg$

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