A metre stick is pivoted about its centre. A | vedclass

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

Question

(C) According to the principle of conservation of angular momentum,the angular momentum of the wax about the pivot before the collision must be equal

Vedclass · Accepted Answer

$2.50$

Vedclass · Answer

(C) According to the principle of conservation of angular momentum,the angular momentum of the wax about the pivot before the collision must be equal to the angular momentum of the system (stick + wax) after the collision.The angular momentum of the wax before the collision is given by $L = mvr$,where $m = 20 \,g = 0.02 \,kg$,$v = 5 \,m/s$,and $r = 0.5 \,m$ (since the stick is a metre stick and it is pivoted at the centre,the distance from the centre to the end is $0.5 \,m$).$L = 0.02 	imes 5 	imes 0.5 = 0.05 \,kg \cdot m^2/s$.The angular momentum of the system after the collision is $L = I\omega$,where $I = 0.02 \,kg \cdot m^2$ is the moment of inertia of the stick and wax about the pivot.Equating the two,we get $0.05 = 0.02 	imes \omega$.$\omega = \frac{0.05}{0.02} = 2.5 \,rad/s$.

Similar Questions

$A$ person standing on a rotating table holds weights in their outstretched hands and is rotating. They suddenly pull their hands in close to their body. Which statement is true?

$A$ child is standing with folded hands at the centre of a platform rotating about its central axis. The kinetic energy of the system is $K$. The child now stretches his arms so that the moment of inertia of the system becomes double. The kinetic energy of the system now is

$A$ solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant for the sphere $?$

$A$ boy stands with his hands folded at the center of a platform rotating about its central axis. The kinetic energy of the system is $K$. The boy now stretches his hands out, which doubles the moment of inertia of the system. The kinetic energy of the system will become

Vedclass Test Series

Exam Paper Generator

Online Exam Module