Home
Class 11
PHYSICS
A thin metal disc of radius 0.25m and ma...

A thin metal disc of radius `0.25m` and mass `2kg` starts from rest and rolls down an inclined plane. If its rotational kinetic energy is `4J` at the foot of the inclined plane, then its linear velocity at the same point is

A

1 m/s

B

4m/s

C

6 m/s

D

8 m/s

Text Solution

Verified by Experts

The correct Answer is:
B
` KE_("rot") = 1/2 I omega^(2) = 1/2((mR^(2))/2)omega^(2)`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - III|43 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - IV|39 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - II (C.W)|60 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 thin metal disc of radius 0.25m and mass 2kg starts from rest and rolls down an inclined plane. If its rotational kinetic energy is 8J at the foot of the inclined plane, then its linear velocity of centre of mass of disc is

A thin metal disc of mass 2 kg starts from rest and rolls down a smooth inclined plane. Its rotational K.E. is 4 J at the bottom of the inclined plane. What is its linear velocity at the same point?

A thin metal hoop of radius 0.25 m and mass 2 kg stars from rest and rolls down an inclined plane. If its linear velocity on reaching the foot of the plane is 2 m//s , what is its rotational KE at that instant ?

A body rolls down a smooth inclined plane. If its rotational kinetic energy is 40% of its translational K.E., then the body must be a

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

A solid sphere having mass m and radius r rolls down an inclined plane. Then its kinetic energy is

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

A cylinder of mass M and radius R rolls on an inclined plane. The gain in kinetic energy is

NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - II (H.W)
  1. Find moment of inertia of half disc of radius R(2) and mass M abou...

    Text Solution

    |

  2. Two circular loops A and B are made of the same wire and their radii a...

    Text Solution

    |

  3. A circular disc is rotating without friction about its natural axis wi...

    Text Solution

    |

  4. A ballot dancer is rotating about his own vertical axis on smooth hori...

    Text Solution

    |

  5. A uniform metal rod of length L and mass M is rotating about an axis p...

    Text Solution

    |

  6. A ball of mass 1 kg is projected with a velocity of 20sqrt(2) m/s ...

    Text Solution

    |

  7. A uniform sphere of mass m , radius r and moment of inertia I ab...

    Text Solution

    |

  8. When 200 J of work is done on a fly wheel its frequency of rotation in...

    Text Solution

    |

  9. A fly wheel of M.I. 6xx10^(-2) kgm^(2) is rotating with an angular vel...

    Text Solution

    |

  10. If the kinetic energy of a rotating body about an axis is decreased by...

    Text Solution

    |

  11. The moment of inertia of a wheel of radius 20 cm is 40 kgm^(2) if a ta...

    Text Solution

    |

  12. An initial momentum is imparted to a homogenous cylinder, as a results...

    Text Solution

    |

  13. A solid cylinder starts rolling down on an inclined plane from its top...

    Text Solution

    |

  14. A thin metal rod of length 0.5 m is vertically straight on horizontal ...

    Text Solution

    |

  15. A wheel of radius 0.2 m rolls without slip ping with a speed 10m/s...

    Text Solution

    |

  16. Show that a cylinder will slip on an inclined plane if the coefficient...

    Text Solution

    |

  17. A thin metal disc of radius 0.25m and mass 2kg starts from rest and ro...

    Text Solution

    |

  18. A ball rolls without slipping. The radius of gyration of the ball abou...

    Text Solution

    |

  19. A wheel is rolling uniformly along a level road without slipping...

    Text Solution

    |

  20. A uniform circular ring of radius R is first rotated about its h...

    Text Solution

    |