A thin **rod of length $L$, mass $M$** is hinged at one end and held h…

Question

A thin **rod of length $L$, mass $M$** is hinged at one end and held horizontally; released from rest. The **angular speed** when it has rotated through angle $	heta$ below horizontal is:

Accepted Answer

B. $\sqrt{3g\sin	heta/L}$

CG drops by $(L/2)\sin	heta$. Energy: $Mg(L/2)\sin	heta = 	frac{1}{2}I\omega^2 = 	frac{1}{2}(ML^2/3)\omega^2$ ⇒ $\omega^2 = 3g\sin	heta/L$.

Answer

$\sqrt{2g\sin	heta/L}$

Answer

$\sqrt{g\sin	heta/L}$

Answer

$\sqrt{6g\sin	heta/L}$

A thin **rod of length $L$, mass $M$** is hinged at one end and held horizontally; released from rest. The **angular speed** when it has rotated through angle $\theta$ below horizontal is:

A thin rod of length $L$, mass $M$ is hinged at one end and held horizontally; released from rest. The angular speed when it has rotated through angle $\theta$ below horizontal is: