Home
Class 11
PHYSICS
A solid cylinder of mass m is attached t...

A solid cylinder of mass `m` is attached to a horizontal spring with force constant `k`. The cylinder can roll without slipping along the horizontal plane. (See the accompanying figure.) Show that the center of mass of the cylinder executes simple harmonic motion with a period `T = 2pisqrt((3m)/(2k))`, if displaced from mean position.

Text Solution

Verified by Experts

The correct Answer is:
NA
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    NN GHOSH|Exercise Eexercies|39 Videos

  • SIMPLE AND COMPOUND PENDULUM

    NN GHOSH|Exercise Exercise|24 Videos

  • SPECIFIC HEAT CAPACITY OF GASES

    NN GHOSH|Exercise All Questions|17 Videos

Similar Questions

Explore conceptually related problems

A solid sphere of mass m is attached to a light spring of force constant k so that it can roll without slipping along a horizontal surface. Calculate the period of oscillation made by sphere.

A disc of mass M is attached to a horizontal massless spring of force constant K so that it can roll with out slipping along a horizontal surface. If the disc is pulled a little towards right and then released, its centre of mass executes SHM with a period of

A small solid cylinder of mass M attached to horizontal massless spring can roll without slipping along a horizontal surface. Show that if the cylinder is displaced slightly and released, it executes S.H.M. Also find its time period.

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h . What is the speed of its center of mass when the cylinder reaches its bottom

A solid uniform cylinder of mass M attached to a massless spring of force constant k is placed on a horizontal surface in such a way that cylinder can roll without slipping. If system is released from the stretched position of the spring, then the period will be-

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 solid cylinder of mass M and radius R rolls without slipping on a flat horizontal surface. Its moment of inertia about the line of contact is ?

NN GHOSH-SIMPLE HARMONIC MOTION-Eexercies
  1. An ideal gas enclosed in a vertical cylindrical container supports a f...

    Text Solution

    |

  2. If the mass of a spring, m, is not negligible but small compared to th...

    Text Solution

    |

  3. A solid cylinder of mass m is attached to a horizontal spring with for...

    Text Solution

    |

  4. A point executes SHM about a fixed point O. Its distance from O at a c...

    Text Solution

    |

  5. A plank rests symmetrically on two cylinders which are separated by a ...

    Text Solution

    |

  6. A horizontal disc is oscillating in its own plane harmonically with am...

    Text Solution

    |

  7. A body of mass m falls from a height h on to the pan of a spring balan...

    Text Solution

    |

  8. A particle executes SHM with period T about a point O. It passes throu...

    Text Solution

    |

  9. Two particles are in SHM with the same amplitude and frequency along t...

    Text Solution

    |

  10. A small block of mass m resting at the bottom of a hemispherical cup o...

    Text Solution

    |

  11. If in the above problem the block is replaced by a small spherical bal...

    Text Solution

    |

  12. A vertical U-tube has one of the its arms bent at theta from the verti...

    Text Solution

    |

  13. A block of mass M executes SHM with amplitude a and time period T. Whe...

    Text Solution

    |

  14. A plank with a body of mass m places on it starts moving straight up ...

    Text Solution

    |

  15. A small sleeve of mass m=1//10kg can move along the diameter of a hori...

    Text Solution

    |

  16. A string of length l=1m and tensioned by a weight M = 4kg has two mass...

    Text Solution

    |

  17. A block of mass m(1)=1kg is attached to a spring of force constant k=2...

    Text Solution

    |

  18. A rubber cord of force constant k = 100 N/m and l=1m is attached to a ...

    Text Solution

    |

  19. Find the frequency of oscillations of the system in the figure. The ba...

    Text Solution

    |

  20. A pipe in the form of a half ring is placed on a horizontal surface. I...

    Text Solution

    |