Home
Class 12
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

Text Solution

Verified by Experts

The correct Answer is:
A, B

Here, `r=0.5, m=2kg`
Rotational KE `=(1)/(2)l omega^(2)=(1)/(2)xx((1)/(2)mr^(2))omega^(2)`
`"or "4=(1)/(4)mv^(2)=(1)/(4)xx2v^(2)`
`rArr" "v=sqrt8=2sqrt2ms^(-1)`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION'

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PRACTICE EXERCISE (Exercise 2 (MISCELLANEOUS PROBLEMS))|47 Videos
  • ROTATIONAL MOTION'

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|35 Videos
  • ROTATIONAL MOTION'

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|35 Videos
  • REFRACTION OF LIGHT

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2|25 Videos
  • SCALARS AND VECTORS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2 (Miscellaneous Problems)|20 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

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-ROTATIONAL MOTION'-PRACTICE EXERCISE (Exercise 1 (TOPICAL PROBLEMS))
  1. A solid sphere is rotating about a diameter at an angular velocity ome...

    Text Solution

    |

  2. A 3 kg moves with constant speed of 2ms^(-1) in the xy-plane in the y-...

    Text Solution

    |

  3. A disc of mass 2 kg and radius 0.2 m is rotating with angular veocity ...

    Text Solution

    |

  4. in a circular motion the angle between a particle's linear momentum an...

    Text Solution

    |

  5. When a celling fan is switched off, its angular velocity falls to half...

    Text Solution

    |

  6. Two bodies have their moments of inertia I and 2 I respectively about ...

    Text Solution

    |

  7. A wheel of mass 8 kg and radius 40 cm is rolling on a horizontal road ...

    Text Solution

    |

  8. A sphere and a hollow cylinder roll without slipping down two separate...

    Text Solution

    |

  9. A solid cylinder rolls down an inclined plane of height 3m and reaches...

    Text Solution

    |

  10. If a sphere rolling on an inclined plane with velocity v without slipp...

    Text Solution

    |

  11. A cylinder is rolling down on a inclined plane of inclination60^(@). W...

    Text Solution

    |

  12. The speed of a homogeneous solid sphere after rolling down an inclined...

    Text Solution

    |

  13. A rupee coin, starting from rest rolls down a distance of 1 m on a pla...

    Text Solution

    |

  14. When a uniform solid sphere and a disc of the same mass and of the sam...

    Text Solution

    |

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

    Text Solution

    |

  16. An iron rod of mass M and length L is cut into n equal parts by cuttin...

    Text Solution

    |

  17. A round disc of moment of inertia I2 about its axis perpendicular to i...

    Text Solution

    |

  18. Two discs cone of density 7200 kg//m^(3) and another of density 9000k...

    Text Solution

    |

  19. A thin rod of length L and mass M is bent at its midpoint into two hal...

    Text Solution

    |

  20. A thin wire of length L and uniform linear mass density rho is bent in...

    Text Solution

    |