Home
Class 11
PHYSICS
A uniform solid cylinder of mass m and r...

A uniform solid cylinder of mass `m` and radius `R` is set in rotation about its axis with an angular velocity `omega_(0)`, then lowered with its lateral surface onto a horizontal plane and released. The coefficient of friction between the cylinder and the plane is equal to `mu`. Find
(`a`) how long the cylinder will move with sliding,
(`b`) the total work performed by the sliding friction force acting on the cylinder.

Promotional Banner

Topper's Solved these Questions

  • RIGID BODIES AND ROTATIONAL MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Discussion Question|30 Videos

  • RIGID BODIES AND ROTATIONAL MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Conceptual MCQs Single Option Correct|39 Videos

  • RIGID BODIES AND ROTATIONAL MOTION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical|63 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 solid cylinder of mass M and radius R rotates about its axis with angular speed omega . Its rotational kinetic energy is

An cylinder of mass m is rotated about its axis by an angular velocity omega and lowered gently on an inclined plane as shown in figure. Then : .

A uniform circular ring of radius R is first rotated about its horizontal axis with an angular velocity omega_0 and then carefully placed on a rough horizontal surface as shown. The coefficient of friction between the surface and the rings mu . Time after which its angular speed is reduced to 0.5 omega_0 is

A uniform cylinder of radius R is spinned about it axis to the angular velocity omega_(0) and then placed into a corner,. The coeficient of friction between the corner walls and the cylinder is mu_(k) How many turns will the cylinder accomplish before it stops?

A cylinder full of water is rotating about its own axis with uniform angular velocity omega . Then the shape of free surface of water will be

A soild cylinder of mass 2 kg and radius 0.2 m is rotating about its owm axis without friction with an angular velocity of 3 rad s^(-1) . Angular momentum of the cylinder is

A solid cylinder of mass m and radius r is rolling on a rough inclined plane of inclination theta . The coefficient of friction between the cylinder and incline is mu . Then.

A hollow cylinder of radius R rotates about its axis which is vertical. A block remains in contact with the inner wall if the frequency of rotation is f hertz, but falls at lower frequaencies. The coefficient of friction between the block and the cylinder is

An solid cylinder of mass 20 kg and radius 20 cm rotates about its axis with a angular speed 100 rad s^-1 . The angular momentum of the cylinder about its axis is.

A uniform cylinder of the radius R ( = 3 m) is spin about its axis at an angular velocity omega_(0)(=40 sqrtpi" rad s"^(-1)) and placed between two perpendicular walls. The coefficient of friction between the walls and cylinder is mu(=2). Then, how many rotations will the cylinder make before it comes to rest?

PHYSICS GALAXY - ASHISH ARORA-RIGID BODIES AND ROTATIONAL MOTION-Practice exercise
  1. A uniform circular disc has radius R and mass m. A particle, also of m...

    Text Solution

    |

  2. A wheel of radius 6 cm is mounted so as to rotate about a horizontal a...

    Text Solution

    |

  3. A uniform solid cylinder of mass M and radius 2R rests on a horizontal...

    Text Solution

    |

  4. As shown in figure-5.72 the solid disc and pulley have the same radii ...

    Text Solution

    |

  5. The axis of a cylinder of radius R and moment of inertia about its axi...

    Text Solution

    |

  6. A spool of thread of mass m is placed on an inclined smooth plane set ...

    Text Solution

    |

  7. A uniform solid cylinder of mass M and radius R rolls a rough inclined...

    Text Solution

    |

  8. A uniform ball of radius r rolls without slipping down from the top of...

    Text Solution

    |

  9. A homogeneous rod AB of length L = 1.8 m and mass M is pivoted at the ...

    Text Solution

    |

  10. A plank of mass m1 with a uniform sphere of mass m2 placed on it rests...

    Text Solution

    |

  11. A cylinder of mass M and radius R is resting on a horizontal platform ...

    Text Solution

    |

  12. A uniform solid cylinder of mass m and radius R is set in rotation abo...

    Text Solution

    |

  13. A billiard ball, initially at rest, is given a sharp impulse by a cue....

    Text Solution

    |

  14. A hollow sphere is released from the top of an inlcined plane of incli...

    Text Solution

    |

  15. A solid wooden door 1 m wide and 2 m high is hinged along one side and...

    Text Solution

    |

  16. A thin uniform square plate with side l and mass M can rotate freely a...

    Text Solution

    |

  17. A small disc of mass m slides down a smooth hill of height h without i...

    Text Solution

    |

  18. A man of mass m(1) stands on the edge of a horizontal uniform disc of ...

    Text Solution

    |

  19. A uniform rod AB of length 2l and mass 2m is suspended freely at A and...

    Text Solution

    |

  20. A metre stick is held vertically with one end on the floor and is then...

    Text Solution

    |