Home
Class 11
PHYSICS
A rigid body rotates about a fixed axis ...

A rigid body rotates about a fixed axis with variable angular velocity equal to (a - bt) at time t where a and b are constants. The angle through which it rotates before it comes to rest is

A

`((a-b)a)/(2)`

B

`(a^(2))/(2b)`

C

`(a^(2)-b^(2))/(2b)`

D

`(a^(2)-b^(2))/(2a)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    ERRORLESS |Exercise Practice Problems (Problems based on torque, couple)|11 Videos

  • ROTATIONAL MOTION

    ERRORLESS |Exercise Practice Problems (Problems based on moment of inertia)|33 Videos

  • ROTATIONAL MOTION

    ERRORLESS |Exercise Practice Problems (Problems based on centre of mass)|12 Videos

  • NEWTONS LAWS OF MOTION

    ERRORLESS |Exercise Self Evaluation Test|16 Videos

  • SIMPLE HARMONIC MOTION

    ERRORLESS |Exercise simple Harmonic Motion|21 Videos

Similar Questions

Explore conceptually related problems

Angular momentum of a rigid body rotating about a fixed Axis with angular velocity vec omega

A rigid body is rotating about an axis. The best way to stop it is applying

A body rotates about a fixed axis with an angular acceleration 1rad//s^(2) through what angle does it rotates during the time in which its angular velocity increases from 5rad//s to 15rad//s ?

A body rotates about a fixed axis wilth an angular acceleration of one radian/second/second. Through what angle does ilt rotate during the time in which its angular velocity increases from 5 rad/s to 15 rad/s.

A solid body starts rotating about a stationary axis with an angular acceleration alpha=alpha_(0) cos theta , where alpha_(0) is a constant and theta is an angle of rotation from the initial position. Find the angular velocity of the body as a function of theta .

A rod is rotating with angular velocity omega about axis AB. Find costheta .

A body rotates about a fixed axis with an angular acceleration of 3 rad//s^(2) The angle rotated by it during the time when its angular velocity increases frm 10 rad/s to 20 rad/s (in radian) is

A solid body rotates about a stationary axis so that its angular velocity depends on the rotation angle  as   = 0 – k , where    0 and k are positive constants. At the moment t = 0, the angle  = 0. Find the time dependence of rotation angle -

ERRORLESS -ROTATIONAL MOTION-Practice Problems (Problems based on angular displacement, velocity and acceleration)
  1. In rotational motion of a rigid body, all particles move with

    Text Solution

    |

  2. The angula speed of a fly-wheel making 120 revolutions /minute is :

    Text Solution

    |

  3. A body starting from rest gains an angular speed of 540 r.p.m in 6 sec...

    Text Solution

    |

  4. A car is moving at a speed of 72 km//h. The diameter of its wheels is ...

    Text Solution

    |

  5. A wheel is rotating at 900 rpm about its axis. When the power is cut o...

    Text Solution

    |

  6. A particle P is moving in a circle of radius r with a uniform speed u....

    Text Solution

    |

  7. Two particles having mass 'M' and 'm' are moving in a circular path ha...

    Text Solution

    |

  8. A ody is in pure rotation. The linear speed v of a particle, the dista...

    Text Solution

    |

  9. A strap is passing over a wheel of radius 30 cm. During the time the w...

    Text Solution

    |

  10. A particle starts rotating from rest. Its angular displacement is expr...

    Text Solution

    |

  11. The planes of two rigid discs are perpendicular to each other. They ar...

    Text Solution

    |

  12. A sphere is rotating about a diameter

    Text Solution

    |

  13. A rigid body rotates about a fixed axis with variable angular velocity...

    Text Solution

    |

  14. When a ceiling fan is switched on, it makes 10 rotations in the first ...

    Text Solution

    |

  15. When a ceiling fan is switched off, its angular velocity reduces to 50...

    Text Solution

    |

  16. Let vecA be a unit vecrtor along the axis of rotation of a purely rota...

    Text Solution

    |