Solve the following :

Question:

A square plate of mass $120 \mathrm{~g}$ and edge $5.0 \mathrm{~cm}$ rotates about one of the edges. If it has a uniform angular acceleration of $0.2 \mathrm{rad} / S^{2}$, what torque acts on the plate?

Solution:

Squeeze rod along axis $A^{\prime \prime}$ so it will behave as rod

$I=\frac{m a^{2}}{3}$

$\tau=I \alpha$

$=\frac{(0.120)(0.05)^{2}}{3}(0.2)$

$\tau=2 \times 10^{-5} \mathrm{~N}-\mathrm{m}$

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