A thin rod of mass M and length L is struck a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The angular momentum of the system about the midpoint $A$ is conserved during the collision because there are no external torques acting on the sy

Vedclass · Accepted Answer

$\frac{{mvL}}{2}$

Vedclass · Answer

(C) The angular momentum of the system about the midpoint $A$ is conserved during the collision because there are no external torques acting on the system about point $A$.Before the collision,the rod is at rest,so its angular momentum is zero.The angular momentum of the clay ball of mass $m$ moving with speed $v$ at a distance $L/2$ from the midpoint $A$ is given by $L = r 	imes p = (L/2) 	imes (mv) = \frac{mvL}{2}$.Since the external torque about $A$ is zero,the angular momentum of the system remains constant.Therefore,the angular momentum of the clay-rod system about $A$ after the collision is equal to the angular momentum of the clay ball before the collision,which is $\frac{mvL}{2}$.

$A$ thin rod of mass $M$ and length $L$ is struck at one end by a ball of clay of mass $m$,moving with speed $v$ as shown in the figure. The ball sticks to the rod. After the collision,the angular momentum of the clay-rod system about $A$,the midpoint of the rod,is:

Similar Questions

$A$ disc of mass $M$ and radius $R$ is rolling on a horizontal surface as shown in the figure. What is the magnitude of the angular momentum of the disc about the origin $O$?

Two wheels are connected by a belt. The radius of the larger wheel is three times that of the smaller one. What is the ratio of the rotational inertia of the larger wheel to the smaller wheel,when both wheels have the same angular momentum?

$A$ uniform rod $AB$ of mass $m$ and length $l$ is at rest on a smooth horizontal surface. An impulse $P$ is applied to the end $B$. The time taken by the rod to turn through a right angle is

Does the angular momentum of a body change when its axis of rotation changes? Why?

Vedclass Test Series

Exam Paper Generator

Online Exam Module