Home
Class 11
PHYSICS
A block of mass m is attached to a pulle...

A block of mass `m` is attached to a pulley disc of equal mass, radius `r` by means of a slack string as shown. The pulley is hinged about its centre on a horizontal table and the block is projected with an initial velocity of `5 m//s`. Find the velocity when the string becomes taut.
.

A

a. `3m//s`

B

b. `2.5m//s`

C

c. `5//3m//s`

D

d. `10//3m//s`

Text Solution

Verified by Experts

The correct Answer is:
D
Applying conservation of angular momentum about the hinge, we get
`mvR=m/2R^(2)omega+m(Romega)R`
`Romega=(2v)/3=(2xx5)/3=10/3m//s`
Promotional Banner

Topper's Solved these Questions

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct|26 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS ENGLISH|Exercise Linked Comprehension|71 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS ENGLISH|Exercise Subjective|19 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS ENGLISH|Exercise Integer|11 Videos

  • SOUND WAVES AND DOPPLER EFFECT

    CENGAGE PHYSICS ENGLISH|Exercise Integer|16 Videos
CENGAGE PHYSICS ENGLISH-RIGID BODY DYNAMICS 2-Single Correct
  1. The spool shown in the figure is placed on a rough horizontal surface ...

    Text Solution

    |

  2. A small bead of mass m moving with velocity v gets threaded on a stati...

    Text Solution

    |

  3. A block of mass m is attached to a pulley disc of equal mass, radius r...

    Text Solution

    |

  4. A uniform solid sphere of radius r is rolling on a smooth horizontal s...

    Text Solution

    |

  5. A uniform flag pole of length L and mass M in pivoted on the ground wi...

    Text Solution

    |

  6. A block of mas m(1) is projected with a velocity v(0) so that it climb...

    Text Solution

    |

  7. Two points of a rod move with velocity 3 v and v perpendicular to the...

    Text Solution

    |

  8. A sphere is released on a smooth inclined plane from the top. When it ...

    Text Solution

    |

  9. A smooth tube of certain mass is rotated in a gravity-free Space and r...

    Text Solution

    |

  10. In the figure shown, a ball without sliding on a horizontal, surface. ...

    Text Solution

    |

  11. The weight of a body at earth's surface is W. At a depth half way to t...

    Text Solution

    |

  12. A uniform ring of radius R is given a back spin of angular velocity V(...

    Text Solution

    |

  13. A disc is performing pure rolling on a smooth stationary surface with ...

    Text Solution

    |

  14. A particle of mass m is rigidly attached at A to a ring of mass 3m and...

    Text Solution

    |

  15. A uniform smooth rod (mass m and length l) placed on a smooth horizont...

    Text Solution

    |

  16. A solid sphere, a hollow sphere and a disc, all having same mass and r...

    Text Solution

    |

  17. A uniform rod of mass m, length l is placed over a smooth horizontal s...

    Text Solution

    |

  18. If a man at the equator would weight (3/5)th of his weight, the angula...

    Text Solution

    |

  19. A particle falls freely near the surface of the earth. Consider a fixe...

    Text Solution

    |

  20. A ball of mass moving with constant velocity u collides with a smooth ...

    Text Solution

    |