Home
Class 12
PHYSICS
(a) A rigid body of radius of gyration k...

(`a`) A rigid body of radius of gyration `k` and radius `R` rolls without slipping down a plane inclined at an angle `theta` with the horizontal. Calculate its acceleration and the frictional force acting on it.
(`b`) If the body be in the form of a disc and `theta=30^(@)`, what will be the acceleration and the frictional force acting on it.

Text Solution

AI Generated Solution

To solve the problem step by step, we will break it down into two parts as given in the question. ### Part (a): Calculate the acceleration and frictional force 1. **Identify the Forces Acting on the Rigid Body**: - The weight of the body \( mg \) acts vertically downward. - The component of weight acting parallel to the incline is \( mg \sin \theta \). - The component of weight acting perpendicular to the incline is \( mg \cos \theta \). ...
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise SOLVED EXAMPLES|20 Videos
  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE-1|4 Videos
  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise 7-previous year question|46 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IMPECCABLE|56 Videos

Similar Questions

Explore conceptually related problems

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane making an angle 6 with the horizontal. Then its acceleration is.

A hollow sphere rolls without slipping down a plane inclined at an angle of 30° to the horizontal. Its linear acceleration will be

A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle theta . The frictional force-

A round uniform body of radius R , mass M and moment of inertia 'I' rolls down (without slipping) and inclined plane making an angle theta with the horizontal. Then its acceleration is.

When a solid sphere rolls without slipping down an inclined plane making an angle theta with the horizontal, the acceleration of its centre of mass is a . If the same sphere slides without friction, its.

When a solid sphere rolls without slipping down an inclined plane making an angle theta with the horizontal, the acceleration of its centre of mass is a . If the same sphere slides without friction, its.

A rolling object rolls without slipping down an inclined plane (angle of inclination theta ), then the minimum acceleration it can have is ?

A sphere is rolling down a plane of inclination theta to the horizontal. The acceleration of its centre down the plane is

When a body rolls without sliding up an inclined plane the frictional force is :