Home
Class 11
PHYSICS
A door of moment of inertia 4 km m^(2) i...

A door of moment of inertia 4 km `m^(2)` is at rest .When a torque of 2`pi` Nm acts on it find its angular acceleration Find also its angular velocity after 1S

Text Solution

Verified by Experts

Moment of inertia I=4kg `m^(2) omega_(1)=0,tau=2piNm`
i)Angular acceleration `alpha=?,tau=Ialpha=(tau)/(I)=(2pi)/(4)=(pi)/(2) rad//s^(2)`
`omega_(1)=o,omega_(2)=?t=1 sec,omega -omega_(1)=alphat,omega_(2)=(pi)/(2)xx(1),omega_(2)=(3.14)/(2)=1.57 `rad/sec
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    AAKASH SERIES|Exercise Very short answer type questions|40 Videos
  • ROTATIONAL MECHANICS

    AAKASH SERIES|Exercise Numerical Exercise (LEVEL-1)|18 Videos
  • ROTATIONAL DYNAMICS

    AAKASH SERIES|Exercise PRACTICE SHEET (ADVANCED) Integer Type Questions|7 Videos
  • SIMPLE HARMONIC MOTION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II)(PRACTICE SHEET (ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

Similar Questions

Explore conceptually related problems

A door of moment of inertia 4 kg m^(2) is at rest. When a torque of 2 pi Nm acts on it find its angular acceleration. Find also its angular velocity after 1 s.

A flywheel of mass 1 kg and radius vector (2hati _ hatj + 2 hatk) m is at rest. When a force (3hati + 2 hatj - 4 hatk) N acts on it tangentially, it can rotate freely. Then , its angular velocity after 4.5s is

A constant torque of 1000 N-m, turns á wheel of moment of inertia 200 kg-m^(2) about an axis through its centre. Its angular velocity after 3 s is, (in rad/s)

AAKASH SERIES-ROTATIONAL MECHANICS-Questions for Descriptive Answers
  1. A door of moment of inertia 4 km m^(2) is at rest .When a torque of 2p...

    Text Solution

    |

  2. A wheel rotates with an angular acceleration given by alpha= 4at^(2)-3...

    Text Solution

    |

  3. A square made of 4 uniform rods each of mass m=1/14 kg and length l=1m...

    Text Solution

    |

  4. A solid cylinder rolls up an inclined plane of angle of inclination 30...

    Text Solution

    |

  5. A solid disc and a ring, both of radius 10 cm are placed on a horizont...

    Text Solution

    |

  6. A uniform rod of length 2a is placed horizontally on the edge of a tab...

    Text Solution

    |

  7. A rod of mass m and length / is kept on a rough floor in vertical posi...

    Text Solution

    |

  8. A spherical ball of mass M and radius R is projected along a rough hor...

    Text Solution

    |

  9. The angular momentum of a particle relative to a certain point varies ...

    Text Solution

    |

  10. A small ball is suspended from a point O by a light thread of length. ...

    Text Solution

    |

  11. In the arrangement shown in Fig. the mass of the uniform solid cylinde...

    Text Solution

    |

  12. A wheel rotates with an angular acceleration given by alpha= 4at^(2)-3...

    Text Solution

    |

  13. A square made of 4 uniform rods each of mass m=1/14 kg and length l=1m...

    Text Solution

    |

  14. A solid cylinder rolls up an inclined plane of angle of inclination 30...

    Text Solution

    |

  15. A solid disc and a ring, both of radius 10 cm are placed on a horizont...

    Text Solution

    |

  16. A uniform rod of length 2a is placed horizontally on the edge of a tab...

    Text Solution

    |

  17. A rod of mass m and length / is kept on a rough floor in vertical posi...

    Text Solution

    |

  18. A spherical ball of mass M and radius R is projected along a rough hor...

    Text Solution

    |

  19. The angular momentum of a particle relative to a certain point varies ...

    Text Solution

    |

  20. A small ball is suspended from a point O by a light thread of length. ...

    Text Solution

    |

  21. In the arrangement shown in Fig. the mass of the uniform solid cylinde...

    Text Solution

    |