Home
Class 12
PHYSICS
A rigid body of radius R and radius of g...

A rigid body of radius R and radius of gyration k rolls without slipping along a horizontal plane. Then, the ratio of its rotational energy to total energy is

A

`(k^(2))/(R^(2))`

B

`(k^(2))/(k^(2)+R^(2))`

C

`(R^(2))/(k^(2))`

D

`(R^(2))/(k^(2)+R^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
`E_("rot")=(1)/(2) I omega^(2)=(1)/(2) Mk^(2)(v^(2))/(R^(2)), E_("tot")=(1)/(2) Mv^(2)(1+(k^(2))/(R^(2)))`
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE CHOICE QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Oscillations|5 Videos

  • MULTIPLE CHOICE QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Elasticity|5 Videos

  • MULTIPLE CHOICE QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Gravitation|8 Videos

  • MODEL QUESTION PAPER FOR PRACTICE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SECTION-D|5 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Semiconductors Devices (Long Answer ( LA) ( 4 marks Each) )|3 Videos

Similar Questions

Explore conceptually related problems

A solid sphere is rolling without slipping on a horizontal plane. The ratio of its rotational kinetic energy and translational kinetic energy is

A ring rotates without slipping on a horizontal smooth surface, the ratio of translational energy to the total energy of the ring is

A solid sphere rolls without slipping along a horizontal surface. What percentage of its total kinetic energy is rotational kinetic energy?

A body is rolling without slipping on a horizontal plane. The rotational energy of the body is 40% of the total kinetic energy. Identify the body.

A body is rolling without slipping on a horizontal plane. The rotational energy of the body is 40% of the total kinetic energy. Identify the body

A circular disc of radius r is rolling without slipping on a horizontal surface. What is the ratio of the translational KE and rotational KE of disc ?

A hollow sphere is rolling without slipping on a rough surface. The ratio of translational kinetic energy to rotational kinetic energy is

A circular disc rolls down an inclined plane . The ratio of rotational kinetic energy to total kinetic energy is

A body si rolling without slipping on a horizontal plane. If the rotational energy of the body is 40% of the total kinetic energy then the body might be:

A hollow sphere rolls without slipping on plane surface. The ratio of kinetic energy of rotation to the total kinetic energy is