Home
Class 11
PHYSICS
A carpet of mass M is rolled along its l...

A carpet of mass `M` is rolled along its length so as to from a cylinder of radius `R` and is kept on a rough floor. When a negligibly small push is given to the cylindrical carpet, it stars unrolling itself without sliding on the floor. Calculate horizontal velocity of cylindrical part of the carpet when its radius reduces to `R//2`.

Text Solution

Verified by Experts

The correct Answer is:
`[sqrt((14gR)/(3))]`
Promotional Banner

Topper's Solved these Questions

  • RIGID BODIES AND ROTATIONAL MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise MCQ|16 Videos

  • NEWTONS LAWS OF MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problem|81 Videos

  • WORK, ENERGY AND POWER

    PHYSICS GALAXY - ASHISH ARORA|Exercise unsolved|1 Videos

Similar Questions

Explore conceptually related problems

A carpet of mass M made of inextensible material is rolled along its length in the form of a cylinder of radius R and is kept on a graph floor. The carpet. Starts unrolling without sliding on the floor when a negligible small push is given to it. Calculate the horizontal velcoity of the axis of the cylindrical part of the carpet when its radius reduces to R//2 .

A floor-mat of mass M made up of extensible material, is rolled along its length so as to form a cylinder of radius R and kept on a rough horizontal surface. If the mat is now unrolled, without sliding, to a radius (R )/(2) , the decrease in potential energy 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 ?

A bullet of mass m moving with a velocity of u just grazes the top of a solid cylinder of mass M and radius R resting on a rough horizontal surface as shown and is embedded in the cylinder after impact. Assuming that the cylinder rolls without slipping, find the angular velocity of the cylinder and the final velocity of the bullet.

A sphere of mass m and radius R is kept on a rough floor. A sharp impulse is applied in the horizontal direction at the height of centre of sphere so that sphere acquires a linear velocity v_(0) without any angular velocity. Calculate the velocity of sphere when pure rolling starts.

A cylinder of mass m and radius R is kept on a rough surface after giving its centre a horizontal speed v_(0) . Find the speed of the centre of the cylinder when it stops slipping.

A particle of mass M is moving in a horizontal circle of radius R with uniform speed V. When it moves from one point to a diametrically opposite point, its

A particle of mass M is moving in a horizontal circle of radius R with uniform speed V . When it moves from one point to a diametrically opposite point , its

A thin carpet of mass 2m is rolled over a hollow cylinder of mass m . The cylinder wall is thin and radius of the cylinder is R. The carpet rolled over it has outer radius 2R (see figure). This roll is placed on a rough horizontal surface and given gentle push so that the carpet begins to roll and unwind. Friction is large enough to prevent any slipping of the carpet on the floor. Also assume that the carpet does not slip on the surface of the cylinder. The entire carpet is laid out on the floor and the hollow cylinder rolls out with speed V. Find V.

PHYSICS GALAXY - ASHISH ARORA-RIGID BODIES AND ROTATIONAL MOTION-Unsolved Numerical
  1. A uniform rod AB of mass M is placed in contact. with a second rod BC ...

    Text Solution

    |

  2. A uniform thin rod of mass m and length L is standing vertically along...

    Text Solution

    |

  3. A carpet of mass M is rolled along its length so as to from a cylinder...

    Text Solution

    |

  4. A small sphere of radius R is held against the inner surface of larger...

    Text Solution

    |

  5. A vertically oriented uniform rod of mass M and length l can rotate ab...

    Text Solution

    |

  6. A Stick of length L and mass M lies on a fnctionless horizontal surfac...

    Text Solution

    |

  7. A uniform solid cylinder of radius R=15cm rolls over a horizontal plan...

    Text Solution

    |

  8. A small spherical marble of mass m and radius r is rolling without sli...

    Text Solution

    |

  9. A horizontal rotating disc placed on arough surface has an angular spe...

    Text Solution

    |

  10. A thin horizontal uniform rod AB of mass m and length l can rotate fre...

    Text Solution

    |

  11. A disc of circumference S stands vertically on a horizontal surface as...

    Text Solution

    |

  12. A block of mass m(1) =2 kg slides along a firictionless table with a ...

    Text Solution

    |

  13. A uniform rod of length 2a is held with one end resting on a smooth ho...

    Text Solution

    |

  14. A hollow sphere of radius r is rotating about a horizontal axis at som...

    Text Solution

    |

  15. Discs A and B are mounted on a shaft XY and may be connected or discon...

    Text Solution

    |

  16. A spool with thread wound on it, of mass m, rests on a rough horizonta...

    Text Solution

    |

  17. A small body of mass m tied to a non-stretchable thread moves over a s...

    Text Solution

    |

  18. A ball ofmass m moving with velocity experiences a head on elastic col...

    Text Solution

    |

  19. A spool has a mass of 2 kg,an inner radius R(1) =3cm,and an outer radi...

    Text Solution

    |

  20. A homogeneous disc of weight W and radius R rotates about the vertical...

    Text Solution

    |