Question

A thin uniform stick of length $l$ and mass $m$ is held horizontally with its end B hinged on the edge of a table. Point A is suddenly released. The acceleration of the mass of the stick at the time of release is

• A. $\frac{3}{4}g$
• B. $\frac{3}{7}g$
• C. $\frac{2}{7}g$
• D. $\frac{1}{7}g$

Answer 1

The correct option is A $\frac{3}{4}g$

$ac{c}^n$ of mass of stick $C$ so wide mass at center of mass at $L/2$ from

$I$ at $amppt=\frac{m{L}^2}{3}$

$\alpha =\frac{Q}{R/2}$

$\tau =F\times R$

$\downarrow$ $\searrow$

by $mg$ from

$I\alpha =\tau$

$\frac{M{L}^2}{3}\frac{a\times 2}{2}=mg\times \frac{L}{2}$

$a=\frac{3g}{4}$