Home
Class 11
PHYSICS
A rod of length l rotates with uniform v...

A rod of length `l` rotates with uniform velocity `omega` about an axis perpendicular to its length and passing through its end. Calculate the force exerted by one-half on this other.
[Hint : Consider the dynamics of circular motion of an element at a distance `x` and thickness `dx`. Assume that T is the tension at a distance x]

Text Solution

Verified by Experts

The correct Answer is:
`(3)/(8) m omega^(2)l`
Promotional Banner

Topper's Solved these Questions

  • CENTRIPITAL AND CENTRIFUGAL FORCES

    NN GHOSH|Exercise Exercises (A)|18 Videos

  • CALORIMETRY

    NN GHOSH|Exercise All Questions|28 Videos

  • COMPOSITION AND RESOLUTION OF VELOCITIES

    NN GHOSH|Exercise Exercise|25 Videos

Similar Questions

Explore conceptually related problems

The moment of inertia of a straight thin rod of mass M and length l about an axis perpendicular to its length and passing through its one end, is

The radius of gyration of a uniform rod of mass m and length l about an axis perpendicular to its length and at distance l/4 from its one end will be

The radius of gyration of rod of length L and mass M about an axis perpendicular to its length and passing through a point at a distance L//3 from one of its ends is

Find radius of gyration of a rod of length l and mass m about an axis perpendicular its length through one end.

A rod of length l, density of material D and area of cross section is A . If it rotates about its axis perpendicular to the length and passing through its centre, then its kinetic energy of rotation will be

Calculate the moment of inertia of a rod of mass M, and length l about an axis perpendicular to it passing through one of its ends.

A rod of length l rotates with a uniform angular velocity omega about its perpendicular bisector. A uniform magnetic field B exists parallel to the axis of rotation. The potential difference between the two ends of the lrod is

When a rod of length l is rotated with angular velocity of omega in a perpendicular field of induction B , about one end , the emf across its ends is

A uniform rod rotates in a horizontal plane about an axis perpendicular to its length and passing through an extreme end. Calculate the moment of inertia and kinetic energyof the rod if its length is 3m, its mass 6 kg and angular velocity 20 raidans per second.

Calculate the moment of inertia of a rod of mass 2 kg and length 5 m about an axis perpendicular to it and passing through one of its ends.

NN GHOSH-CENTRIPITAL AND CENTRIFUGAL FORCES-Exercises (B)
  1. In problem 15 if a motor-cyclist passes over the bridge at 18 ms^(-1),...

    Text Solution

    |

  2. Calculate the ratio of the reaction of a convex bridge at the highest ...

    Text Solution

    |

  3. A heavy particle of mass 2kg is tied to two strings, each of length 25...

    Text Solution

    |

  4. A body is suspended by a string of length 1 m and is projected horizon...

    Text Solution

    |

  5. A mass of 0.675 kg on a frictionless table is attached to a string whi...

    Text Solution

    |

  6. A particle is placed inside a hemispherical bowl which rotates about i...

    Text Solution

    |

  7. A rigid rod of length l but of negligible mass has heavy mass m attach...

    Text Solution

    |

  8. Suppose that the string of a simple pendulum is elastic and k is its f...

    Text Solution

    |

  9. A rod of length l rotates with uniform velocity omega about an axis pe...

    Text Solution

    |

  10. A small body is placed on the top of a smooth sphere of radius R. Then...

    Text Solution

    |

  11. A particle mass m begins to slide down a fixed smooth sphere from the ...

    Text Solution

    |

  12. A particle of mass m is suspended by a string of length l from a fixed...

    Text Solution

    |

  13. A man stands on a running train (speed 60 kmph) with his feet 60 m apa...

    Text Solution

    |

  14. A stone is thrown horizontally with a velocity of 10m//sec. Find the r...

    Text Solution

    |

  15. A body is weighed on a spring balance in the wagon of a train travelli...

    Text Solution

    |

  16. Two particles A and B move anticlockwise with the same speed v in a ci...

    Text Solution

    |

  17. A conical pendulum consisting of rigid rod of length l and mass m rota...

    Text Solution

    |

  18. A ring of mass m and radius R is being rotated about its axis with con...

    Text Solution

    |

  19. Water flows along a horizontal pipe with a curve having a radius of R=...

    Text Solution

    |

  20. A rough horizontal plate rotates with a constant angular velocity w ab...

    Text Solution

    |