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  4. A uniform rod of mass m and length l is suspended by two strings at its ends as shown. When one of the strings is cut, the rod starts falling with an initial angular acceleration

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Q. A uniform rod of mass $m$ and length $l$ is suspended by two strings at its ends as shown. When one of the strings is cut, the rod starts falling with an initial angular accelerationPhysics Question Image

System of Particles and Rotational Motion

Solution:

$\tau=I \alpha$
$\frac{m g l}{2}=\frac{m l^{2}}{3} \alpha$
$\alpha=\frac{3 g}{2 l}$ and $a=\alpha r$
$=\frac{l}{2} \cdot \frac{3 g}{2 l}=\frac{3 g}{4}$