Home
Class 11
PHYSICS
The topmost and bottommost velocities of...

The topmost and bottommost velocities of a disc are `v_(1)` and `v_(2)(ltv_(1)` in the same direction. The radius is `R`. Find te value of angular velocity `omega`.

Text Solution

Verified by Experts


`xomega=v_(2)`
`(x+2R)omega=v_(1)`
solving eqs (i) and (ii) we get
`omega=((v_(1)-v_(2))/(2R))`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Level 2 Single Correct|26 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Level 2 Multiple Correct|36 Videos
  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Level 1 Objective|30 Videos
  • ROTATION

    DC PANDEY|Exercise (C) Chapter Exercises|39 Videos
  • ROTATIONAL MOTION

    DC PANDEY|Exercise Integer Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

Two points of a rod move with velocity 3 v and v perpendicular to the rod and in the same direction. Separated by a distance r . Then the angular velocity of the rod is :

In fig., blocks A and B move with velocities v_(1) and v_(2) along horizontal direction. Find the ratio of v_(1)//v_(2)

A body travels with velocity v_(1) for time t_(1) second and with velocity v_(2) for time t_(2) second in the same direction, fide the avetage velocity of the body.

A man of mass m stands on a horizontal platform in the shape of a disc of mass m and radius R , pivoted on a vertical axis thorugh its centre about which it can freely rotate. The man starts to move aroung the centre of the disc in a circle of radius r with a velocity v relative to the disc. Calculate the angular velocity of the disc.

A disc is rotating with angular speed omega_(1) . The combined moment of inertia of the disc and its axle is I_(1) . A second disc of moment of inertia I_(2) is dropped on to the first and ends up rotating with it. Find the angular velocity of the combination if the original angular velocity of the upper disc was (a) zero (b) omega_(2) in the same direction as omega_(1) and (c) omega_(2) in a direction opposite to omega_(1) .

A particle is moving in a circular orbit of radius r_(1) with an angular velocity omega_(1) It jumps to another circular orbit of radius r_(2) and attains an angular velocity omega_(2) . If r_(2)= 0.5 r_(1) , and if no external torque is applied to the system, then the new angular velocity omega_(2) is given by

A cockroach is moving with velocity v in anticlockwise direction on the rim of a disc of radius R of mass m . The moment of inertia of the disc about the axis is I and it is rotating in clockwise direction with an angular velocity omega . If the cockroach stops, the angular velocity of the disc will be

Assertion: Vector product of two vectors is an axial vector. Reason: If vec(v)= instantaneous Velocity, vec(r )= radius vector and vec(omega)= angular velocity, then vec(omega)= vec(v)xxvec(r ) .

A circular disc is rotating without friction about its natural axis with an angular velocity omega . Another circular disc of same material and thickness but half the raduis is gently placed over it coaxially. The angular velocity of composite disc will be

DC PANDEY-ROTATIONAL MECHANICS-Level 1 Subjective
  1. When a body rolls, on a stationary ground, the acceleration of the poi...

    Text Solution

    |

  2. A solid sphere of mass m rolls down an inclined plane a height h. Find...

    Text Solution

    |

  3. The topmost and bottommost velocities of a disc are v(1) and v(2)(ltv(...

    Text Solution

    |

  4. A circular lamina of radius a and centre O has a mass per unit area of...

    Text Solution

    |

  5. A solid body starts rotating about a stationary axis with an angular a...

    Text Solution

    |

  6. A ring of radius R rolls on a horizontal ground with linear speed v an...

    Text Solution

    |

  7. Two forces F(1) and F(2) are applied on a spool of mass M and moment o...

    Text Solution

    |

  8. A disc is placed on the ground. Friction coefficient is mu. What is th...

    Text Solution

    |

  9. A cube is resting on an inclinded plane. If the angle of inclination i...

    Text Solution

    |

  10. A uniform disc of mass 20 kg and radius 0.5 m can turn about a smooth ...

    Text Solution

    |

  11. A uniform disc of mass m and radius R I rotated about an axis passing ...

    Text Solution

    |

  12. A solid body rotates about a stationary axis so that the rotation angl...

    Text Solution

    |

  13. A rod of mass m and length 2 R is fixed along te diameter of a ring of...

    Text Solution

    |

  14. The figure shows a thin ring of mass M=1kg and radius R=0.4m spinning ...

    Text Solution

    |

  15. A horizontal disc rotating freely about a vertical axis makes 100 rpm....

    Text Solution

    |

  16. A man stands at the centre of a circular platform holding his arms ext...

    Text Solution

    |

  17. A horizontally oriented uniform disc of mass M and radius R rotates fr...

    Text Solution

    |

  18. Consider a cylinder of mass M and radius R lying on a rough horizontal...

    Text Solution

    |

  19. Find the acceleration of the cylinder of mass m and radius R and that ...

    Text Solution

    |

  20. A uniform rod AB of length 2l and mass m is rotating in a horizontal p...

    Text Solution

    |