Home
Class 11
PHYSICS
A loop and a disc have same mass and rol...

A loop and a disc have same mass and roll without slipping with the same linear velocity `v`. If the total kinetic energy of the loop is `8 J`, the kinetic energy of the disc must be.

A

8 J

B

16 J

C

6 J

D

4 J

Text Solution

Verified by Experts

The correct Answer is:
C
( c) `KE` of loop `= mv^2 = 8 J`
`KE` of disc `= (3)/(4) mv^2 = (3)/(4) 8 = 6 J`.
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL DYNAMICS

    A2Z|Exercise Rotation And Translation Combined And Rolling Motion|18 Videos

  • ROTATIONAL DYNAMICS

    A2Z|Exercise Problems Based On Mixed Concepts|31 Videos

  • ROTATIONAL DYNAMICS

    A2Z|Exercise Angular Momentum And Its Conservation|30 Videos

  • PROPERTIES OF MATTER

    A2Z|Exercise Chapter Test|29 Videos

  • THERMAL PROPERTIES OF MATTER

    A2Z|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

A ring and a disc having the same mass, roll without slipping with the same linear velocity. If the kinetic energy of the ring is 8 j , Find the kinetic energy of disc (in J)

A solid cylinder and a sphere, having the same mass, rolls without slipping with the same linear velocity. If the kinetic energy of the cylinder is 75 J , that of the sphere must be

A ring and a disc roll on the horizontal surface without slipping with same linear velocity. If both have same mass and total kinetic energy of the ring is 4 J then total kinetic energy of the disc is

A ring and a disc roll on the horizontal surface without slipping, with same linear velocity. If bolh have same mass and total kinetic energy of the ring is 4 J, then total kinetic energy of the disc is

A thin ring and a solid disc of same mass and radius are rolling with the same linear velocity. Then ratio of their kinetic energies is

A solid sphere of mass 500 gm and radius 10 cm rolls without slipping with the velocity 20cm/s. The total kinetic energy of the sphere will be

A circular disc of mass 0.41 kg and radius 10 m rolls without slipping with a velocity of 2 m/s. The total kinetic energy of disc 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 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

A2Z-ROTATIONAL DYNAMICS-Work And Energy In Case Of Rotation
  1. When a sphere rolls without slipping the ratio of its kinetic energy o...

    Text Solution

    |

  2. The moment of inertia of a body about a given axis is 1.2 kg m^(2). In...

    Text Solution

    |

  3. A loop and a disc have same mass and roll without slipping with the sa...

    Text Solution

    |

  4. Two bodies with moment of inertia I1 and I2 (I1 gt I2) have equal angu...

    Text Solution

    |

  5. A uniform rod of length L is free to rotate in a vertical plane about ...

    Text Solution

    |

  6. A rod of length l whose lower end is fixed on a horizontal plane, star...

    Text Solution

    |

  7. A body rolls without slipping. The radius of gyration of the body abou...

    Text Solution

    |

  8. A horizontal 9 kg merry-go-round is a solid disk of radius 1.50 m and ...

    Text Solution

    |

  9. Consider two object with m1 gt m2 connected by a light string that pas...

    Text Solution

    |

  10. The top in figure has a moment of inertia of 4.00 xx 10^-4 kg.m^2 and ...

    Text Solution

    |

  11. Figure shows a counterweight of mass m suspended by a cord wound aroun...

    Text Solution

    |

  12. A unifrom solid disk of radius R and mass M is free to rotate on a fri...

    Text Solution

    |

  13. The reel shown in figure has radius R and moment of inertia I. One en...

    Text Solution

    |

  14. A uniform rod smoothly pivoted at one of its ends is released from res...

    Text Solution

    |

  15. A composite rod comprising two rods of mass m and 2m and each of lengt...

    Text Solution

    |

  16. A uniform rod of length l is from rest such that it rotates about a sm...

    Text Solution

    |

  17. A solid unifrom disk of mass m and radius R is pivoted about a horizon...

    Text Solution

    |

  18. A copper ball of mass m = 1 kg with a radius of r = 10 cm rotates with...

    Text Solution

    |

  19. A thin -walled pipe rolls along the floor. What is the ratio of its tr...

    Text Solution

    |

  20. A body of radius R and mass m is rolling smoothly with speed v on a ho...

    Text Solution

    |