Home
Class 12
PHYSICS
A small sphere of mass 1 kg is rolling w...

A small sphere of mass 1 kg is rolling without slipping with linear speed
`v=sqrt((200)/(7) m//s`

It leaves the inclined plane at point C.
Find the linear speed at point C.

A

`2//5`

B

`2//3`

C

`1//6`

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
C
At point C total kinetic energy is 10 J. Ratio of `K_(R)/K_(T) ` is `2/3` .Therefore,
`K_(R) = 2/7 xx 10 = 20/7` J
this `K_(R)` will now remain constant because only weight act on the sphere in air which will pass through centre. Net torque will be zero. So, `K_(R)` can neither increases nor decreases. So, at the time striking with ground.
`K_(R) = 20/7 J `, while, `K_(T) =(20-20/7)_ = 120/7 J therefore K_(R)/K_(T) = 1/6`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise LEVEL - 2 (Angular Momentum, Collision)|20 Videos

  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|58 Videos

  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise LEVEL - 2 (Torque, Fixed and Rotation)|10 Videos

  • REVISION TEST-2 JEE

    VMC MODULES ENGLISH|Exercise PHYSICS|25 Videos

  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise 7-previous year question|46 Videos

Similar Questions

Explore conceptually related problems

A small sphere of mass 1 kg is rolling without slipping with linear speed v=sqrt((200)/(7) m//s It leaves the inclined plane at point C. Find ratio of rotational and translational kinetic energy of the sphere when it strikes the ground after leaving from point C.

A ring of mass m is rolling without slipping with linear speed v as shown in figure. Four particles each of mass m are also attached at points A, B , C and D find total kinetic energy of the system.

A circular disc of mass 2 kg and radius 10 cm rolls without slipping with a speed 2 m/s. The total kinetic energy of disc is

A solid sphere of mas 2kg rolls on a table with linear speed of 1 m//s . Its total kinetic energy is

If a solid sphere of mass 1 kg and radius 0.1 m rolls without slipping at a uniform velocity of 1 m/s along a straight line on a horizontal floor, the kinetic energy 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 mass m rolls without slipping on an inclined plane of inclination theta . Find the linear acceleration of the sphere and the force of friction acting on it. What should be the minimum coefficient of static friction to support pure rolling?

A disc is rolling without slipping with linear velocity v as shown in figure. With the concept of instantaneous axis of rotation, find velocities of point A, B, C and D.

A thick walled hollow sphere has outer radius R . It down an inclined plane without slipping and its -speed the bottom is v . If the inclined plane is frictionless and the sphere slides down without rolling, its speed at the bottom 5v//4 . What is the radius of gyration of the sphere?

A hoop rolls on a horizontal ground without slipping with linear speed v . Speed of a particle P on the circumference of the hoop at angle theta is :