Home
Class 12
PHYSICS
A sphere of moment of inertia I and mass...

A sphere of moment of inertia `I` and mass 'm' rolls down on an inclined plane without slipping. Its K.E. of rolling is.

A

`I omega+Mv`

B

`0.5mV^2`

C

`0.5 I omega^2`

D

`0.5 I omega^2+0.5mV^2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Rational Dynamics

    CHETANA PUBLICATION|Exercise 50|11 Videos
  • Rational Dynamics

    CHETANA PUBLICATION|Exercise 51|18 Videos
  • Rational Dynamics

    CHETANA PUBLICATION|Exercise 48|14 Videos
  • Oscillations.

    CHETANA PUBLICATION|Exercise EXERCISE|69 Videos
  • Semiconductor

    CHETANA PUBLICATION|Exercise EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

The M.I. of a solid cylinder about its axis is I. It is allowed to roll down an inclined plane without slipping. If its angular velocity at the bottom be omega , then kinetic energy of rolling cylinder will be

The moment of inertia of a disc about a tangent axis in its plane is

A solid cylinder of mass 0.1 kg having radius 0.2 m rolls down an inclined plane of height 0.6 m without slipping. The linear velocity of the cylinder at the bottom of the inclined plane is

'A' solid sphere and solid disc having the same mass and radius roll down on the same inclined plane. What is the ratio of their accelerations ?

Deduce an expression for kinetic energy when a body is rolling on a plane surface without slipping.

Derive expression for velocity of a ring, solid cylinder and solid sphere having same radii rolling down the smooth inclined plane without slipping.

A thin wallet hollow cylinder is rolling down an incline , without slipping. At any instant , the ratio " Rotational K.E : Translational K.E:Total K.E." is

A solid cylinder and a solid sphere roll down on the same inclined plane. Then ratio of their acclerations is

Derive an expression for linear speed (V) and linear acceleration (a) of a rigid uniform ring, uniform circular disc and uniform solid sphere rolling down the inclined plane without slipping.

An object of radius 'R' and mass 'M' is rolling horizontally without slipping with speed 'v'. It then rolls up the hill to a maximum height h = (3v^2)/(4g) The moment of inertia of the object is (g = acceleration due to gravity)