Home
Class 12
PHYSICS
The figure shows the position vector vec...

The figure shows the position vector `vecr` of a particle at a certain instant, and four choices for the direction of a force that is to accelerate the particle. All four choices lie in the xy plane. (a) Rank the choices according to the magnitude of the time rate of change (dl/dt) they produce in the angular momentum of the particle about point O, greatest first. (b) Which choice results in a negative rate of change about O?

Text Solution

Verified by Experts

(a) 3, 1, then 2 and 4 tie (zero), (b) 3
Promotional Banner

Topper's Solved these Questions

  • RIGID BODY DYNAMICS - I

    RESNICK AND HALLIDAY|Exercise PROBLEMS|100 Videos
  • RIGID BODY DYNAMICS - I

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (SINGLE CORRECT CHOICE TYPE)|43 Videos
  • RIGID BODY DYNAMICS - I

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (INTEGER TYPE))|3 Videos
  • RELATIVITY

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Integer Type)|5 Videos
  • RIGID BODY DYNAMICS-II

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Integer Type)|2 Videos

Similar Questions

Explore conceptually related problems

Prove that the rate of change of angular momentum is equal to torque acting on the particle

A mass is at the center of a square, with four masses at the corners as shown. Rank the choices according to the magnitude of the gravitational force on the center mass.

A particle P is moving along a straight line as shown in the figure. During the motion of the particle from A to B the angular momentum of the particle about O

The figure showns the force versus time graph for a particle. Find the change in momentum Deltap of the particle

The figure shows an overhead view of a meter stick that can pivot about the dot at the position marked 20 (for 20 cm). All five forces on the stick are horizontal and have the same magnitude. Rank the forces according to the magnitude of the torque they produce, greatest first.

A particle of mass m is moving in a circle of radius r. The centripetal acceleration (a_(c)) of the particle varies with the time according to the relation, a_(c)=Kt^(2) , where K is a positive constant and t is the time. The magnitude of the time rate of change of angular momentum of the particle about the centre of the circle is

The figure shows four arrangement of three particles of equal masses. Rank the arrangement according to the magnitude of the net gravitational force on the particle m, greatest first.

RESNICK AND HALLIDAY-RIGID BODY DYNAMICS - I-CHECKPOINT
  1. A disk can rotate about its central axis like a merry-go-round. Which ...

    Text Solution

    |

  2. In four situations, a rotating body has angular position theta(t) give...

    Text Solution

    |

  3. A cockroach rides the rim of a rotating merry-go-round. If the angular...

    Text Solution

    |

  4. The figure shows three small spheres that rotate about a vertical axis...

    Text Solution

    |

  5. The figure shows a book-like object (one side is longer than the other...

    Text Solution

    |

  6. Find the moment of inertia of a half uniform ring (mass m, radius r) a...

    Text Solution

    |

  7. Find moment of inertia of a uniform solid sphere (mass m, radius r) ab...

    Text Solution

    |

  8. Find moment of inertia of a uniform rectangular plate (mass m) about a...

    Text Solution

    |

  9. Find moment of inertia of a uniform ring (mass m, radius r) about chor...

    Text Solution

    |

  10. The figure shows an overhead view of a meter stick that can pivot abou...

    Text Solution

    |

  11. The position vector vecr of a particle points along the positive direc...

    Text Solution

    |

  12. Find torque due to gravity at any time t about point of projection. If...

    Text Solution

    |

  13. The figure shows an overhead view of a meter stick that can pivot abou...

    Text Solution

    |

  14. In part a of the figure, particles 1 and 2 move around point O in circ...

    Text Solution

    |

  15. The figure shows the position vector vecr of a particle at a certain i...

    Text Solution

    |

  16. A uniform disk, a thin hoop (ring), and a uniform sphere, all with the...

    Text Solution

    |

  17. A rhinoceros beetle rides the rim of a small disk that rotates like a ...

    Text Solution

    |

  18. A rod of mass 12 m and length l lying on a smooth horizontal plane can...

    Text Solution

    |