Home
Class 12
PHYSICS
The velocity of a point P on the surface...

The velocity of a point `P` on the surface of a pure rolling disc as shown in figure, can be calculated as given below.

Text Solution

Verified by Experts


`v_(P)=r omega`
`=2R cos theta omega=2v cos theta`.
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Objective Type Questions (One option is correct)|62 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - B) Objective Type Questions (One option is correct)|60 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|63 Videos

  • SEMICONDUCTOR ELECTRONICS: MATERIALS, DEVICES AND SIMPLE CIRCUITS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-D (Assertion and reason))|5 Videos

  • TEST 1

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE|21 Videos

Similar Questions

Explore conceptually related problems

A uniform disc of mass m and radius R is projected horizontally with velocity v_(0) on a rough horizontal floor so that it starts off with a purely sliding motion at t=0 . After t_(0) seconds, it acquires pure rolling motion as shown in the figure. (a) Calculate the velocity of the center of mass of the disc at t_(0) . Assuming that the coefficent of friction to be mu , calculate t_(0) .

A string is holding a solid block below the surface of the liquid as shown in figure. If the system is given an upward acceleration a , then as compared to previous state.

Are the points P,Q,R shown in the figure given below collinear ?

A disc of mass M and radius R rolls on a horizontal surface and then rolls up an inclined plane as shown in the figure. If the velocity of the disc is v, the height to which the disc will rise will be:

A circular disc of mass '2m' and radius '3r' is resting on a flat frictionless surface. Another circular disc of mass m and radius '2r' , moving with a velocity 'u' . hits the first disc as shown in the figure. The collision is elastic. What is the final velocity of the heavier disc?

A circular disc of radius R rolls without slipping along the horizontal surface with constant velocity v_0 . We consider a point A on the surface of the disc. Then, the acceleration of point A is

Two point P and Q. diametrically opposite on a disc of radius R have linear velocities v and 2v as shown in figure. Find the angular speed of the disc.

A disc is rolling on an inclined plane without slipping. The velocity of centre of mass is V . These other point on the disc lie on a circular are having same speed as centre of mass. When a disc is rolling on an inclined plane. The magnitude of velocities of all the point from the contact point is same, having distance equal to radius r .

A smooth disc of mass M and radius (L)/(sqrt(3)) is placed at rest horizontally on a smooth horizontal surface. A massless pin is fixed at point P at a distance L//2 from centre O of the disc as shown in the figure. Now a thin uniform rod of mass M and length L is placed horizontally on the surface of the disc parallel to the line OP such that its mid point and centre O of the disc just coincide as shown in figure. Now rod has given angular velocity omega_(0)=24 rad//sec in counter clockwise direction as shown. As a result, the end of the rod strikes the pin P and stricks to it rigidly. Calculate the angular velocity of disc just after collision.

A solid cylinder of mass M and radius R pure rolls on a rough surface as shown in the figure. Choose the correct alternative (s).