Home
Class 11
PHYSICS
The axis of a cylinder of radius R and m...

The axis of a cylinder of radius R and moment of inertia about its axis I is fixed at centre O as shown in figure - 5.73 . Its highest point A is in level with two plane horizontal surfaces . A block of mass M is initially moving to the right without friction with speed `v_(1)` . It passes over the cylinder to the dotted position . calculate the speed `v_(2)` in the dotted position and the angular velocity acquired by the cylinder . if at the time of detaching from cylinder block stops slipping on it .
`[(v_(1))/(1 + (I)/(MR^(2))) , (v_(1))/(R(1 + (I)/(MR^(2))))]`

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 cylinder of 500 g and radius 10 cm has moment of inertia about an axis passing through its centre and parallel to its length is

A solid cylinder has mass M radius R and length / its moment of inertia about an axis passing through its centre and perpendicular to its own axis is

The axis of the uniform cylinder in figure is fixed. The cylinder is initially at rest. The block of mass M is initially moving to the friction and with speed v_(1) . It passes over the cylinder to the dashed position. When it first makes contact with the cylinder, it slips on the cylinder, but the friciton is large enough so that slipping ceases before M loses contacts wtih the cylinder. the cylinder has a radius R and a rotaitonal intertia I If omega is final angular velocity of the cylinder, then

The moment of inertia of a cylinder of mass 1000gm and radius 20cm about the axis AB shown in figure is

The relation between length L and radius R of the cylinder , if its moment of inertia about its axis is equal to that about the equatorial axis, will be

Moment of inertia of a disc about its own axis is I. Its moment of inertia about a tangential axis in its plane is

A disc of radius R has a concentric hole of radius R /2 and its mass is M. Its moment of inertia about an axis through its centre and perpendicular to its plane, is

The moment of inertia of cylinder of radius a, mass M and height h about an axis parallel to the axis of the cylinder and distance b from its centre is :

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

    |