Home
Class 11
PHYSICS
A uniform disc of radius r(0) lies on a ...

A uniform disc of radius `r_(0)` lies on a smooth horizontal plane. A similar disc spinning with the angular velocity `omega_(0)` is carefully lowered onto the first disc. How soon do both discs spin with the same angular-velocity if the friction coefficient between them is equal to `mu`?

Text Solution

AI Generated Solution

To solve the problem of how soon both discs spin with the same angular velocity after one is lowered onto the other, we can follow these steps: ### Step 1: Understand the System We have two uniform discs of radius \( r_0 \). The first disc is at rest on a smooth horizontal plane, while the second disc is spinning with an angular velocity \( \omega_0 \). When the second disc is lowered onto the first, they will eventually reach a common angular velocity due to the friction between them. ### Step 2: Apply Conservation of Angular Momentum Before the second disc is placed on the first, the angular momentum of the system is solely from the second disc: \[ ...
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    DC PANDEY ENGLISH|Exercise Solved Example|1 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY ENGLISH|Exercise Exercise 12.1|10 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY ENGLISH|Exercise Solved Examples|25 Videos
  • ROTATION

    DC PANDEY ENGLISH|Exercise (C) Chapter Exercises|39 Videos
  • ROTATIONAL MOTION

    DC PANDEY ENGLISH|Exercise Integer Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

A uniform disc of radius R is spinned to the angular velocity omega and then carefully placed on a horizontal surface. How long will the disc be rotating on the surface if the friction coeffiecient is equal to k ? The pressure exerted by the disc on the surface can be regarded as uniform.

A circular disc is rotating about its own axis at an angular velocity omega . If P is exact midpoint of dise between axis and rim of disc then angular velocity of Pis

a uniform circular disc of radiu8s r placed on a roughn horizontal plane has initial velocity v_(0) and an angul,ar velocity omega_(0) has shown The disc comes to rest after moving some distance in the direction of motion. Then

A uniform circular disc 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 disc comes to rest after moving some distance to the right. It follows that

A uniform disc of radius R rolls perfectly over two horizontal plank A and B moving with velocities v and 2v , spectively. Find the a. velocity of CM of the disc. b. angular velocity of the disc.

A uniform disc of mass m and radius R is rotated about an axis passing through its center and perpendicular to its plane with an angular velocity omega_() . It is placed on a rough horizontal plane with the axis of the disc keeping vertical. Coefficient of friction between the disc and the surface is mu , find (a). The time when disc stops rotating (b). The angle rotated by the disc before stopping.

The assembly of two discs as shown in figure is placed on a rough horizontal surface and the front disc is given an initial angular velocity omega_(0) . Determine the final linear and angular velocity when both the discs start rolling. it is given that friction is sufficient to sustain rolling the rear wheel from the starting of motion.

A disc is given an initial angular velocity omega_(0) and placed on a rough horizontal surface as shown Fig. The quantities which will not depend on the coefficient of friction is/are

A disc of radius R is rolling purely on a flat horizontal surface, with a constant angular velocity the angle between the velocity ad acceleration vectors of point P is

A disc of radius R is rolling purely on a flat horizontal surface, with a constant angular velocity. The angle between the velocity ad acceleration vectors of point P is