Home
Class 11
PHYSICS
A uniform rod of mass m and length l is ...

A uniform rod of mass m and length l is suspended by means of two light inextensible strings at the ends of rod. Tension in one string immediately after the other string is cut is

Text Solution

Verified by Experts

`mg-T=ma`……….`(1)`
`alpha=(tau)/(I)=(mg.(l)/(2))/((ml^(2))/(3))=(3g)/(2I)`………..`(2)`
`a=(l)/(2)alpha`………`(3)`
Solving equations `(1)`, `(2)` and `(3)`
we get, `T=(mg)/(4)`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise Exercise-I|143 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise Exercise-II|109 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH SERIES|Exercise PRACTICE EXERCISE (Rotational Dynamics )|17 Videos
  • SURFACE TENSION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS )|8 Videos
  • THERMAL PROPERTIES OF MATTER

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) PRACTICE SHEET (ADVANCED) Integer/Subjective Type Questions|2 Videos

Similar Questions

Explore conceptually related problems

A uniform rod of length 1 and mass m is suspended by two vertical inextensible string as shown in the fig. The tension in the left string when right string snaps, is

AAKASH SERIES-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Problems
  1. A solid cyclinder of mass M and radius 'R' is mounted on a frictionles...

    Text Solution

    |

  2. A cylindrical rod of mass 'm' length L and radius 'R' has two cords wo...

    Text Solution

    |

  3. A uniform rod of mass m and length l is suspended by means of two ligh...

    Text Solution

    |

  4. The angular momentum of a body changes by 80kg m^(2)s^(-1) when its an...

    Text Solution

    |

  5. If the radius of the earth is suddenly halved keeping its mass constan...

    Text Solution

    |

  6. A horizontal disc is freely rotating about a vertical axis passing thr...

    Text Solution

    |

  7. A ballet dancer spins about a vertical axis at 60 rpm with arms outstr...

    Text Solution

    |

  8. Determine the kinetic energy of a circular disc rotating with a speed ...

    Text Solution

    |

  9. The angular momentum of rotating body is increased by 20%. What will b...

    Text Solution

    |

  10. A massless string is wrapped around a uniform solid cylinder of mass 3...

    Text Solution

    |

  11. A door of moment of inertia 4kgm^(2) is at rest. When a torque of 2piN...

    Text Solution

    |

  12. A ballet dancer spins about a vertical axis at 120 rpm with arms outst...

    Text Solution

    |

  13. A wheel is rotating with a speed of 500 rpm on a shaft. Second identic...

    Text Solution

    |

  14. The moment of inertia of a fly wheel making 300 revolutions per minute...

    Text Solution

    |

  15. A circular metal disc of mass 200g and radius 20cm makes 10 revolution...

    Text Solution

    |

  16. When 100 J of work is done on a fly wheel, its angular velocity is inc...

    Text Solution

    |

  17. A metal piece of mass 120g is stretched to form a plane rectangular sh...

    Text Solution

    |

  18. A uniform rod AB of mass 'm' length 2a is allowed to fall under gravit...

    Text Solution

    |

  19. A uniform rod of mass 'm' and length 'l' is on the smooth horizontal s...

    Text Solution

    |

  20. A uniform bar of length 6a and mass 8m lies on a smooth horizontal tab...

    Text Solution

    |