Solve the following :

Question:

Calculate the torque on the square plate of the previous problem if it rotates about a diagonal with the same angular acceleration.

Solution:

M.I. of square plate about its diagonal

$$

\begin{aligned}

&\mathrm{I}=\frac{m a^{2}}{12} \\

&\tau=I \alpha \\

&=\frac{(0.12)(0.05)^{2}}{12}(0.2) \\

&=0.5 \times 10^{-5} \mathrm{~N}-\mathrm{m}

\end{aligned}

$$

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