A thin circular ring of mass M and radius R i | vedclass

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

Question

(C) Since there is no external torque acting on the system,the angular momentum $L$ is conserved.Initial angular momentum $L_1 = I_1 \omega_1$,where $

Vedclass · Accepted Answer

$\frac{\omega M}{M + 2m}$

Vedclass · Answer

(C) Since there is no external torque acting on the system,the angular momentum $L$ is conserved.Initial angular momentum $L_1 = I_1 \omega_1$,where $I_1 = MR^2$ is the moment of inertia of the ring.Final angular momentum $L_2 = I_2 \omega_2$,where $I_2 = MR^2 + 2(mR^2) = (M + 2m)R^2$ is the moment of inertia of the ring with the two masses attached.By the law of conservation of angular momentum,$I_1 \omega_1 = I_2 \omega_2$.Substituting the values: $(MR^2) \omega = (M + 2m)R^2 \omega_2$.Solving for $\omega_2$: $\omega_2 = \frac{MR^2 \omega}{(M + 2m)R^2} = \frac{M \omega}{M + 2m}$.

$A$ thin circular ring of mass $M$ and radius $R$ is rotating about its axis with a constant angular velocity $\omega$. Two objects,each of mass $m$,are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity:

Similar Questions

In the Bohr series of lines of the hydrogen spectrum,the third line from the red end corresponds to which one of the following inter-orbit transitions in an atom of hydrogen?

In the electrolytic extraction of $Al$,molten cryolite $(Na_3AlF_6)$ is used because it .......

Let $\vec{a}=\hat{i}+\hat{j}+\hat{k}$,$\vec{b}=\hat{i}-\hat{j}+\hat{k}$ and $\vec{c}=\hat{i}-\hat{j}-\hat{k}$ be three vectors. $A$ vector $\vec{v}$ in the plane of $\vec{a}$ and $\vec{b}$,whose projection on $\vec{c}$ is $\frac{1}{\sqrt{3}}$,is given by

If $a \sin^2 \theta + b \cos^2 \theta = c$,then $\tan^2 \theta$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module