Home
Class 11
PHYSICS
Light thread is tightly wound on a unifo...

Light thread is tightly wound on a uniform solid cylinder of radius R. The cylinder is placed on a smooth horizontal table and the thread is pulled horizontally as shown, by applying a constant force F. How much length of the thread is unwound from the cylinder by the time its kinetic energy becomes equal to K.

Text Solution

Verified by Experts

The correct Answer is:
`(2K)/(3F)`
Promotional Banner

Topper's Solved these Questions

  • NEWTONS LAWS OF MOTION

    ARIHANT|Exercise All Questions|111 Videos

  • SIMPLE HARMONIC MOTION

    ARIHANT|Exercise Level 3|9 Videos

Similar Questions

Explore conceptually related problems

A uniform cylinder of mass m rests on two rough horizontal planks. A thread is wound on the cylinder. The hanging end of the thread is pulled vertically down with a constant force F

A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. A horizontal constant force F is applied at the top point P of the cylinder so that it start pure rolling. The acceleration of the cylinder is

A uniform solid cylindrical roller of mass m and R is rolled on the ground , without slipping , by applying a constant horizontal force F. Find angular acceleration of cylinder .

For the arrangement shown in the figure,blocks A and B are placed on the smooth horizontal surface.The free end P of the thread is being pulled by a constant force "F=1N" .Find the acceleration of free end P.

A solid cylinder of mass 1 kg and radius 0.02 m, is rolling on a smooth horizontal surface with a uniform velocity of 0.1 m/s. Its total energy is

A uniform solid cylinder of mass m rests on two horizontal planks. A thread is wound on the cylinder. The hanging end of the thread is pulled vertically down with a constant force F(figure). Find the maximum magnitude of the force F which still does not bring about any sliding of the cylinder, if the coefficient of friction between the cylinder and the planks is equal to k. What is the acceleration w_(max) of the axis of the cylinder rolling down the inclined plane?

A uniform solid cylinder of mass m rests on two horizontal planks. A thread is wound on the cylinder. The hanging end of the thread is pulled vertically down with a constant force F . Find the maximum magnitude of the force F which may be applied without bringing about any sliding of the cylinder, if the coefficient of friction between the plank and the cylinder is equal to mu . What is the maximum acceleration of the centre of mass over the planks?

Thread would around cylinder of mass M and radius R. It is allowed to fall as shown. Find its acceleration.

A homogeneous cylinder of mass Mand radius r is pulled on a horizontal plane by a horizontal force F acting through its centre of mass. Assuming rolling without slipping, find the angular acceleration of the cylinder,

A light thread with a body of mass m tied to its end is wound on a uniform solid cylinder of mass M and radius R . At a moment t=0 the system is set in motion. Assuming the friction in the axle of the cylinder to be negligible, find the time dependence of (a) the angular velocity of the cylinder and (b) the kinetic energy of the whole system ( M=2m ).

ARIHANT-ROTATIONAL MOTION-PHYSICS
  1. A uniform rod of length L is rotating in a horizontal plane about a v...

    Text Solution

    |

  2. Two identical thin rods are moving on a smooth table, as shown. Both o...

    Text Solution

    |

  3. Light thread is tightly wound on a uniform solid cylinder of radius R....

    Text Solution

    |

  4. A horizontal disc of radius R and mas 20 M is pivoted to rotate freely...

    Text Solution

    |

  5. A disc of mass m and radius R is moving on a smooth horizontal surface...

    Text Solution

    |

  6. A uniform rod of mass m and length l has been placed on a smooth table...

    Text Solution

    |

  7. A ring is made to rotate about its diameter at a constant angular spee...

    Text Solution

    |

  8. A small car took off a ramp at a speed of 30 m//s. Immediately after l...

    Text Solution

    |

  9. A disc of radius R stands at the edge of a table. If the given a gentl...

    Text Solution

    |

  10. A uniform triangular plate is kept horizontal suspended with the help ...

    Text Solution

    |

  11. A rigid large uniform square platform is resting on a flat horizontal ...

    Text Solution

    |

  12. A uniform rod of mass M and length L is placed freely on a horizontal ...

    Text Solution

    |

  13. A ring of mass M and radius R lies flat on a horizontal table. A light...

    Text Solution

    |

  14. A uniform stick of length L is pivoted at one end on a horizontal tabl...

    Text Solution

    |

  15. A uniform rod BC with length a is attached to a light string AC. End A...

    Text Solution

    |

  16. A dumb – bell has a rigid mass less stick and two point masses at its ...

    Text Solution

    |

  17. A hexagonal pencil of mass M and sides length a has been placed on a r...

    Text Solution

    |

  18. A rope of length L and mass per unit length lambda passes over a disc ...

    Text Solution

    |

  19. A toy is made of a rectangular wooden frame with four small wheels at ...

    Text Solution

    |

  20. Consider an idealized case of rolling of a solid ball in which the poi...

    Text Solution

    |