Home
Class 11
PHYSICS
A metal disc of radius R and mass M free...

A metal disc of radius `R` and mass `M` freely rolls down from the top of an inclined plane of height `h` without slipping. The speed of its centre of mass on reaching the bottom of the inclined plane is

A

`sqrt((4gh)/3)`

B

`sqrt((3gh)/4)`

C

`sqrt(gh)`

D

`sqrt((gh)/2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`v = sqrt((2gh)/(1+(k^(2))/(r^(2)))) `
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - II (H.W)|60 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - III|43 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - I(H.W)|63 Videos

  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-VI|78 Videos

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - II (H.W.)|19 Videos

Similar Questions

Explore conceptually related problems

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.

A hollow sphere rolls down a 30^@ incline of length 6m without slipping. The speed of centre of mass at the bottom of plane is

A block is released from the top of the smooth inclined plane of height h . Find the speed of the block as it reaches the bottom of the plane.

A disc of mass 3 kg rolls down an inclined plane of height 5 m. The translational kinetic energy of the disc on reaching the bottom of the inclined plane is

Two solid discs of radii r and 2r roll from the top of an inclined plane without slipping. Then

A ring starts to roll down the inclined plane of height h without slipping . The velocity when it reaches the ground is

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 rolls down from an inclined plane of height h. What is the velocity of the cylinder when it reaches at the bottom of the plane ?

NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - II (C.W)
  1. The moment of inertia of a hollow sphere of mass M having internal and...

    Text Solution

    |

  2. Thickness of a wooden circular plate is same as the thickness of a met...

    Text Solution

    |

  3. A thin uniform circular disc of mass M and radius R is rotating in ...

    Text Solution

    |

  4. A turn table is rotating in horizontal plane about its own axis at an ...

    Text Solution

    |

  5. A uniform cylindrical rod of mass m and length L is rotating is pe...

    Text Solution

    |

  6. A particle of mass 1 kg is moving alogn the line y=x+2 with speed 2m//...

    Text Solution

    |

  7. A smooth uniform rod of length L and mass M has two identical beads ...

    Text Solution

    |

  8. An energy of 484 J is spent in increasing the speed of a flywheel from...

    Text Solution

    |

  9. A constant torque of 1000 N-m turns a wheel of moment of inertia 200 k...

    Text Solution

    |

  10. If the angular momentum of a rotating body about an axis is increased ...

    Text Solution

    |

  11. The angular frequency of a fan of moment of inertia 0.1kgm^2 is increa...

    Text Solution

    |

  12. A sphere of mass m and radius r rolls on a horizontal plane without sl...

    Text Solution

    |

  13. A circular ring starts rolling down on an inclined plane from its top....

    Text Solution

    |

  14. A thin rod of length L is vertically straight on horizontal floor. Thi...

    Text Solution

    |

  15. A wheel of radius 'r' rolls without slipping with a speed v on a ho...

    Text Solution

    |

  16. A solid cylinder of mass m rolls without slipping down an inclined pla...

    Text Solution

    |

  17. A metal disc of radius R and mass M freely rolls down from the top of ...

    Text Solution

    |

  18. A hollow sphere rolls on a horozontal surface without slipping. Then ...

    Text Solution

    |

  19. A disc is rolling the velocity of its centre of mass is V"cm" then whi...

    Text Solution

    |

  20. A tangential force F acts at the top of a thin spherical shell of ...

    Text Solution

    |