Home
Class 11
PHYSICS
A uniform rod of mass m, length l rests ...

A uniform rod of mass `m`, length `l` rests on a smooth horizontal surface. Rod is given a sharp horizontal impulse `p` perpendicular to the rod at a distance `l//4` from the centre. The angular velocity of the rod will be

A

`(3p)/(ml)`

B

`p/(ml)`

C

`p/(2ml)`

D

`(2p)/(ml)`

Text Solution

Verified by Experts

The correct Answer is:
A

`pl/4=(ml^(2))/4omega`e
Promotional Banner

Topper's Solved these Questions

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Multiple Correct|26 Videos
  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Linked Comprehension|71 Videos
  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Subjective|19 Videos
  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS|Exercise Integer|11 Videos
  • SOUND WAVES AND DOPPLER EFFECT

    CENGAGE PHYSICS|Exercise Integer|16 Videos

Similar Questions

Explore conceptually related problems

A uniform rod of mass M and length a lies on a smooth horizontal plane. A particle of mass m moving at a speed v perpendicular to the length of the rod strikes it at a distance a/4 from the centre and stops after the collision. Find a. the velocity of the cente of the rod and b. the angular velocity of the rod abut its centre just after the collision.

A uniform rod of mass m and length l is on the smooth horizontal surface. When a constant force F is applied at one end of the rod for a small time t as shown in the figure. Find the angular velocity of the rod about its centre of mass.

A uniform rod of mass M and length L lies on a smooth horizontal plane. A particle of mass m moving at a speed v perpendicular to the length of the rod strikes it at a distance L//6 from the center and stops after the collision. Find (a) the velocity of center of mass of rod and (b) the angular velocity of the rod about its center just after collision.

A uniform rod AB of mass m and length l is at rest on a smooth horizontal surface. An impulse J is applied to the end B perpendicular to the rod in horizontal direction. Speed of the point A of the rod after giving impulse is:

A uniform rod of mass m=2 kg and length l is kept on a smooth horizontal plane. If the ends A and B of the rod move with speeds v and 2v respectively perpendicular to the rod, find the: a. angulr velocity of CM of the rod. b. Kinetic energy of the rod (in Joule).

A uniform rod of mass m=5.0kg and length l=90cm rests on a smooth horizontal surface. One of the ends of the rod is struck with the impulse J=3.0N*s in a horizontal direction perpendicular to the rod. As a result, the rod obtains the momentum p=3.0N*s . Find the force with which one half of the rod will act on the other in the process of motion.

The moment of inertia of a thin rod of mass M and length L about an axis perpendicular to the rod at a distance L/4 from one end is

CENGAGE PHYSICS-RIGID BODY DYNAMICS 2-Single Correct
  1. A solid sphere of mass m is lying at rest on a rough horizontal surfac...

    Text Solution

    |

  2. A uniform rod AB of length l and mass m hangs from point A in a car mo...

    Text Solution

    |

  3. A uniform rod of mass m, length l rests on a smooth horizontal surface...

    Text Solution

    |

  4. A thin plate of mass M,length L and width 2d is mounted vertically on ...

    Text Solution

    |

  5. A uniform circular disc of radius r is placed on a rough horizontal su...

    Text Solution

    |

  6. A disc is freely rotating with an angular speed omega on a smooth hori...

    Text Solution

    |

  7. A small solid sphere of radius r rolls down an incline without slippin...

    Text Solution

    |

  8. A sphere is rolling down an inclined plane without slipping. The ratio...

    Text Solution

    |

  9. A conical pendulum consists of a mass M suspended from a strong sling ...

    Text Solution

    |

  10. A thin uniform rod of mass m and length l is kept on a smooth horizont...

    Text Solution

    |

  11. A yo-yo, arranged as shown, rests on a frictionless surface. When a fo...

    Text Solution

    |

  12. Velocity of the centre of a small cylinder is v. There is no slipping ...

    Text Solution

    |

  13. A system of identical cylinders and plates is shown in Fig. All the cy...

    Text Solution

    |

  14. The spool shown in the figure is placed on a rough horizontal surface ...

    Text Solution

    |

  15. A small bead of mass m moving with velocity v gets threaded on a stati...

    Text Solution

    |

  16. A block of mass m is attached to a pulley disc of equal mass, radius r...

    Text Solution

    |

  17. A uniform solid sphere of radius r is rolling on a smooth horizontal s...

    Text Solution

    |

  18. A uniform flag pole of length L and mass M in pivoted on the ground w...

    Text Solution

    |

  19. In the figure shown, a ring A is initially rolling without sliding wit...

    Text Solution

    |

  20. Two points of a rod move with velocity 3 v and v perpendicular to the...

    Text Solution

    |