Home
Class 12
PHYSICS
A sphere of radius r is rolling without ...

A sphere of radius `r` is rolling without slipping on a hemispherical surface of radius `R`. Angular velocity and angular acceleration of line `OA` is `omega` and `alpha` respectively. Find the acceleration of point `P` on sphere.

Text Solution

Verified by Experts

`(omega^(2)(R-r)R)/(r )`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|63 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - I) Subjective Type Questions|8 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

The angular velocity and angular acceleration of the pivoted rod are given as omega and alpha respectively. Fid the x and y components of acceleration of B .

A solid sphere (radius = R) rolls without slipping in a cylindrical throuh (radius = 5R) . Findthe time period of small oscillations.

A solid sphere of mass m and radius R is rolling without slipping as shown in figure. Find angular momentum of the sphere about z-axis.

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 solid sphere of mass m rolls without slipping on an inclined plane of inclination theta . The linear acceleration of the sphere is

A sphere of radius R rolls without slipping between two planks as shown in figure. Find (a) Speed of centre of sphere (b) Angular velocity of the sphere

A disc of radius R is rolling purely on a flat horizontal surface, with a constant angular velocity. The angle between the velocity and 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

Consider a uniform disc of mass m , radius r rolling without slipping on a rough surface with linear acceleration a and angular acceleration alpha due to an external force F as shown in the figure coefficient of friction is mu . Q. The work done by the frictional force at the instant of pure rolling is

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