A solid sphere of mass m and radius R is...

A solid sphere of mass `m` and radius `R` is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation `(E_("sphere")//E_("cylinder"))` will be

`2:3`

`1:5`

`1:4`

`3:1`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

SYSTEM OF PARTICLES AND ROTATIONAL MOTION
VMC MODULES ENGLISH|Exercise EFFICIENT|50 Videos
SYSTEM OF A PARTICLES & ROTATIONAL MOTION
VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE F|10 Videos
UNITS, MEASUREMENTS & ERRORS
VMC MODULES ENGLISH|Exercise IN - CHAPTER EXERCISE - B|10 Videos

Similar Questions

Explore conceptually related problems

A solid cylinder of mass M and radius R rotates about its axis with angular speed omega . Its rotational kinetic energy is

A sphere of mass 10 kg and radius 0.5 m rotates about a tangent. The moment of inertia of the sphere is

A soild cylinder of mass 2 kg and radius 0.2 m is rotating about its owm axis without friction with an angular velocity of 3 rad s^(-1) . Angular momentum of the cylinder is

A hollow cylinder of mass M and radius R is rotating about its axis of symmetry and a solid sphere of same mass and radius is rotating about an axis passing through its centre. It torques of equal magnitude are applied to them, then the ratio of angular accelerations produced is a) 2/5 b) 5/2 c) 5/4 d) 4/5

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 ring of diameter 0.4 m and of mass 10 kg is rotating about its geometrical axis at the rate of 35 rotation/second. Find the moment of inertia.

A ring and a solid sphere of same mass and radius are rotating with the same angular velocity about their diameteric axes then :-

A hollow sphere of mass 1 kg and radius 10 cm is free to rotate about its diameter. If a force of 30 N is applied tangentially to it, its angular acceleration is (in rad/ s^(2) )

The ratio of the radii of gyration of a spherical shell and solid sphere of the same mass and radius about a tangential axis is

VMC MODULES ENGLISH-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-IMPECCABLE

A solid cylinder of mass 3 kg is rolling on a horizontal surface with ...
Text Solution
|
The moment of inertia of a uniform circular disc is maximum about an a...
Text Solution
|
A circular platform is mounted on a frictionless vertical axle. Its ra...
Text Solution
|
Three identical spherical shells, each of mass m radius r are placed a...
Text Solution
|
A mass m moves in a circles on a smooth horizontal plane with velocity...
Text Solution
|
A rod of weight w is supported by two parallel knife edges A and B and...
Text Solution
|
An automobile moves on a road with a speed of 54 kmh^(-1). The radius ...
Text Solution
|
A Force F=alphahat(i)+3hat(j)+6hat(k) is acting at a point r=2hat(i)-6...
Text Solution
|
From a disc of radius R and mass M, a circular hole of diameter R, who...
Text Solution
|
A disc and a sphere of same radius but different masses roll off on tw...
Text Solution
|
A solid sphere of mass m and radius R is rotating about its diameter. ...
Text Solution
|
A light rod of length l has two masses m(1) and m(2) attached to its t...
Text Solution
|
A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm...
Text Solution
|
Two discs of same moment of inertia rotating about their regular axis ...
Text Solution
|
A solid sphere is in roling motion. In rolling motion,a body possesses...
Text Solution
|
A solid spere is rotating freely about its symmetry axis in free space...
Text Solution
|
The moment of the force ,F = 4hati+5hatj-6hatK at (2,0-3) about the po...
Text Solution
|
Three objects,A:(a solid sphere), B: (a thin circular disk)and C: (a c...
Text Solution
|
A solid cylinder of mass 2 kg and radius 4 cm rotating about its axis ...
Text Solution
|
A disc of radius 2 m and mass 100kg rolls on a horizontal floor, its c...
Text Solution
|