A horizontal platform is rotating with unifor | vedclass

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

Question

(B) According to the principle of conservation of angular momentum, since no external torque acts on the system, the angular momentum $L = I\omega$ re

Vedclass · Accepted Answer

decreases initially and increases again

Vedclass · Answer

(B) According to the principle of conservation of angular momentum, since no external torque acts on the system, the angular momentum $L = I\omega$ remains constant.When the viscous fluid is dropped at the centre and spreads out, the distribution of mass moves away from the axis of rotation, which increases the moment of inertia $I$ of the system.Since $L = I\omega$ is constant, an increase in $I$ leads to a decrease in the angular velocity $\omega$.As the fluid eventually falls off the platform, the mass of the system decreases, causing the moment of inertia $I$ to decrease back towards its original value.Consequently, the angular velocity $\omega$ increases again as the fluid leaves the platform.

$A$ horizontal platform is rotating with uniform angular velocity around the vertical axis passing through its centre. At some instant of time, a viscous fluid of mass $m$ is dropped at the centre and is allowed to spread out and finally fall off. The angular velocity during this period

Similar Questions

$A$ circular disc of mass $M$ has an initial angular velocity $\omega_1$. Two small spheres,each of mass $m$,are attached to the disc at opposite points on its diameter. What will be the final angular velocity of the disc?

$A$ 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 will now rotate with an angular velocity:

$A$ thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect,the angular speed of the disc

Two 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:

$A$ man is standing on the edge of a circular platform. The platform is rotating with a constant angular velocity about an axis passing through its center and perpendicular to its plane. If the man walks along the radius towards the axis, the angular velocity will ........ .

Vedclass Test Series

Exam Paper Generator

Online Exam Module