Question

A thin uniform rod AB of mass m and length l is hinged at one end to the level floor and stands vertically. If it s allowed to fall, with what angular velocity will it strike the floor?
A. `sqrt((3g)/(L))`
B. `sqrt(3gL)`
C. `sqrt((L)/(3g))`
D. `sqrt((g)/(3L))`

Answer 1

Correct Answer - B
`Mg(1)/(2)=(1)/(2) (mL^(2))/(3) omega^(2) rArr omega =sqrt((3g)/(L))`
`V=omega L=sqrt(3gL)`