Home
Class 11
PHYSICS
The M.I. of a solid cylinder about its a...

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

A

`Iomega^(2)`

B

`(3)/(2)Iomega^(2)`

C

`2Iomega^(2)`

D

`(1)/(2)Iomega^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    ERRORLESS |Exercise Practice Problems (Problems based on motion of connected mass)|10 Videos
  • ROTATIONAL MOTION

    ERRORLESS |Exercise Practice Problems (Problems based on kinetic energy, work and power)|30 Videos
  • NEWTONS LAWS OF MOTION

    ERRORLESS |Exercise Self Evaluation Test|16 Videos
  • SIMPLE HARMONIC MOTION

    ERRORLESS |Exercise simple Harmonic Motion|21 Videos

Similar Questions

Explore conceptually related problems

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

If a solid cylinder rolls down an inclined plane, then its:

A ring, a solid cylinder and sphere are rolled down on an inclined plane without slipping. Velocity of centre of mass is

A sphere is rolling down an inclined plane without slipping. The ratio of rotational kinetic energy to total kinetic energy is

A solid cylinder is rolling down the inclined plane without slipping. Which of the following isare correct?

A body rolls down an inclined plane without slipping. The kinetic energy of rotation is 50% of its translational kinetic energy. The body is:

A solid cylinder of mass M and radius R rolls down an inclined plane of height h. The angular velocity of the cylinder when it reaches the bottom of the plane will be :

If a hollow cylinder and a solid cylinder are allowed to roll down an inclined plane, which will take more time to reach the bottom?

ERRORLESS -ROTATIONAL MOTION-Practice Problems (Problems based on rolling on incline plane)
  1. Solid cylinders of radii r(1),r(2) and r(3) roll down an inclined plan...

    Text Solution

    |

  2. A solid sphere of mass M and radius R, rolling down a smooth inclined ...

    Text Solution

    |

  3. A body starts rolling down an inclined plane of length L and height h....

    Text Solution

    |

  4. A hollow cylinder is rolling on an inclined plane, inclined at an angl...

    Text Solution

    |

  5. If a ring, a disc, a solid sphere and a cyclinder of same radius roll ...

    Text Solution

    |

  6. A ball of radius 11 cm and mass 8 kg rolls from rest down a ramp of le...

    Text Solution

    |

  7. From an inclined plane a sphere, a disc, a ring and a shell are rolled...

    Text Solution

    |

  8. A solid cylinder 30 cm in diameter at the top of an inclined plane 2.0...

    Text Solution

    |

  9. A cylinder of mass M and radius R rolls on an inclined plane. The gain...

    Text Solution

    |

  10. A disc of radius R is rolling down an inclined plane whose angle of in...

    Text Solution

    |

  11. A solid cylinder (i) rolls down (ii) slides down an inclined plane. Th...

    Text Solution

    |

  12. The acceleration of a body rolling down on an inclined plane does not ...

    Text Solution

    |

  13. If a ring, a disc, a solid sphere and a cyclinder of same radius roll ...

    Text Solution

    |

  14. A ring is rolling on an inclined plane. The ratio of the linear and ro...

    Text Solution

    |

  15. The M.I. of a solid cylinder about its axis is I. It is allowed to roo...

    Text Solution

    |

  16. A solid cylinder of mass M and radius R rolls down an inclined plane o...

    Text Solution

    |

  17. A ring takes time t(1) in slipping down an inclined plane of length L,...

    Text Solution

    |

  18. A ring of radius 4a is rigidly fixed in vertical position on a table. ...

    Text Solution

    |

  19. A disc of mass M and radius R rolls on a horizontal surface and then r...

    Text Solution

    |

  20. Two uniform similar discs roll down two inclined planes of length S an...

    Text Solution

    |