Class 11PhysicsSystem of Particles and Rotational MotionConservation of angular momentum (combined translation and rotational motion)
MediumTwo discs of moment of inertia $I_1$ and $I_2$ and angular speeds $\omega_1$ and $\omega_2$ are rotating along collinear axes passing through their centre of mass and perpendicular to their plane. If the two are made to rotate together along the same axis,the rotational $KE$ of the system will be:
- A$\frac{I_1\omega_1 + I_2\omega_2}{2(I_1 + I_2)}$
- B$\frac{(I_1 + I_2)(\omega_1 + \omega_2)^2}{2}$
- C$\frac{(I_1\omega_1 + I_2\omega_2)^2}{2(I_1 + I_2)}$
- DNone of these
Explore More
Similar Questions
The angular momentum of a particle performing circular motion under a central force is constant because of .........
Medium
View SolutionTwo discs of moment of inertia $I_1$ and $I_2$ and angular speeds $\omega_1$ and $\omega_2$ are rotating along collinear axes passing through their centers of mass and perpendicular to their planes. If the two discs are made to rotate together along the same axis,what will be the rotational kinetic energy of the system?
Explain with illustration the pure translation and combination of translation and rotation motion of a rigid body.
Medium
View Solution$A$ circular disc of moment of inertia $I_t$ is rotating in a horizontal plane about its symmetry axis with a constant angular speed $\omega_i$. Another disc of moment of inertia $I_b$ is dropped coaxially onto the rotating disc. Initially,the second disc has zero angular speed. Eventually,both the discs rotate with a constant angular speed $\omega_f$. The energy lost by the initially rotating disc to friction is:
DifficultAIPMT 2010
View Solution$A$ solid sphere with uniform density and radius $R$ is rotating initially with constant angular velocity $\omega_1$ about its diameter. After some time,it starts losing mass at a uniform rate,with no change in its shape. The angular velocity of the sphere when its radius becomes $R/2$ is $x\omega_1$. The value of $x$ is . . . . . . .
DifficultJEE MAIN 2025
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo