A meter stick is held vertically with one end on floor and is allowed to fall. speed of other end wh

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6.System of Particles and Rotational Motion

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A meter stick is held vertically with one end on the floor and is allowed to fall. The speed of the other end when it hits the floor assuming that the end at the floor does not slip is ......... $m / s$ $\left(g=9.8 \,m / s ^2\right)$

A

$3.2$

B

$5.4$

C

$7.6$

D

$9.2$

Solution

(b)

$\frac{m g l}{2}=\frac{1}{2} \frac{m l^2}{3} \omega^2$

$\omega^2=\frac{3 g}{\ell} \Rightarrow \omega=\sqrt{\frac{3 g}{1}}=\sqrt{30}$

Standard 11

Physics

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