Home
Class 12
PHYSICS
A solid cylinder of mass M and radius R ...

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom:

Text Solution

Verified by Experts

Velocity at the bottom(v)=`sqrt((2gh)/(1+k^2/R^2))=sqrt((2gh)/(1+1/2))=sqrt(4/3gh).`
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 of length L and height h . What is the speed of its center of mass when the cylinder reaches its bottom

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 solid cylinder of mass M and radius R rolls down an inclined plane of height h without slipping. The speed of its centre when it reaches the bottom is.

A cylinder of mass M and radius R rolls on an inclined plane. The gain in kinetic energy is

A solid cylinder of mass m and radius r starts rolling down an inclined plane of inclination theta . Friction is enough to prevent slipping. Find the speed of its centre of mass when its centre of mass has fallen a height h .

A solid cylinder of mass m and radius r starts rolling down an inclined plane of inclination theta . Friction is enough to prevent slipping. Find the speed of its centre of mass when its centre of mass has fallen a height h .

A solid cylinder of mass M and radius R rolls from rest down a plane inclined at an angle theta to the horizontal. The velocity of the centre of mass of the cylinder after it has rolled down a distance d is :

A solid cylinder of mass M and radius R rolls without slipping on a flat horizontal surface. Its moment of inertia about the line of contact 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 solid cylinder of mass M and radius R rolls down an inclined plane without slipping. THE speed of its centre of mass when it reaches the bottom is