(C) Initial angular speed of cylinder $A$ is $\omega_{0A} = 50 \text{ rev/s}$.Initial angular speed of cylinder $B$ is $\omega_{0B} = 0 \text{ rev/s}$

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

(C) Initial angular speed of cylinder $A$ is $\omega_{0A} = 50 \text{ rev/s}$.Initial angular speed of cylinder $B$ is $\omega_{0B} = 0 \text{ rev/s}$.Let the magnitude of angular acceleration be $\alpha = 1 \text{ rev/s}^2$.For cylinder $A$,the angular speed at time $t$ is $\omega_A = \omega_{0A} - \alpha t = 50 - 1t$.For cylinder $B$,the angular speed at time $t$ is $\omega_B = \omega_{0B} + \alpha t = 0 + 1t = t$.When the angular speeds become equal,$\omega_A = \omega_B$.Therefore,$50 - t = t$.$2t = 50$.$t = 25 \text{ seconds}$.

Class 11 Physics System of Particles and Rotational Motion Mix Example - System of Particles and Rotational Motion

Difficult

One of two identical cylinders,cylinder $A$,rotates at an angular speed of $50 \text{ revolutions per second}$. This rotating cylinder is brought into contact with a second stationary cylinder,$B$. Due to kinetic friction between the two cylinders,the stationary cylinder starts rotating with an angular acceleration,while cylinder $A$ undergoes angular deceleration. If the magnitude of the angular acceleration for both cylinders is $1 \text{ revolution per second}^2$,after how many seconds $(t)$ will the angular speeds of both cylinders become equal?

A
$15$
B
$20$
C
$25$
D
$30$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

System of Particles and Rotational Motion

Subtopic

Mix Example - System of Particles and Rotational Motion

$A$ man is sitting in a smooth groove on a horizontal circular table at the edge by holding a rope joined to the centre. The moment of inertia of the table is $I$. The mass of the man is $M$. The man now pulls the rope so that he comes to the centre. The angular velocity of the table:

Medium

View Solution

$A$ disc and a ring of the same mass are rolling. If their kinetic energies are equal,then the ratio of their velocities will be:

Difficult

View Solution

$A$ uniform sphere of radius $R$ is placed on a rough horizontal surface and given a linear velocity $v_0$ and angular velocity $\omega_0$ as shown. The sphere comes to rest after moving some distance to the right. It follows that:

Difficult

View Solution

$A$ particle performs uniform circular motion with an angular momentum $L$. If the angular frequency of the particle is doubled and its kinetic energy is halved,what will be its new angular momentum?

DifficultAIEEE 2003

View Solution

$A$ bullet of mass $10\, g$ and speed $500\, m/s$ is fired into a door and gets embedded exactly at the centre of the door. The door is $1.0\, m$ wide and weighs $12\, kg$. It is hinged at one end and rotates about a vertical axis practically without friction. The angular speed of the door just after the bullet embeds into it will be

MediumJEE MAIN 2013

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Similar Questions

$A$ man is sitting in a smooth groove on a horizontal circular table at the edge by holding a rope joined to the centre. The moment of inertia of the table is $I$. The mass of the man is $M$. The man now pulls the rope so that he comes to the centre. The angular velocity of the table:

$A$ disc and a ring of the same mass are rolling. If their kinetic energies are equal,then the ratio of their velocities will be:

$A$ uniform sphere of radius $R$ is placed on a rough horizontal surface and given a linear velocity $v_0$ and angular velocity $\omega_0$ as shown. The sphere comes to rest after moving some distance to the right. It follows that:

$A$ particle performs uniform circular motion with an angular momentum $L$. If the angular frequency of the particle is doubled and its kinetic energy is halved,what will be its new angular momentum?

Vedclass Test Series

Exam Paper Generator

Online Exam Module