Home
Class 11
PHYSICS
A bal tied to a sting takes 4 s to compl...

A bal tied to a sting takes 4 s to complete revolution along a horizontal circle. If by pulling the cord, the radius of the circle is reduced to half of the previous value, then how much time the ball will take in one revolution.

Text Solution

Verified by Experts

Formula: By conservation of angular momentum
`I_(1)omega_(1)=I_(2)omega_(2)`
or `mr^(2). (2pi)/(T_(1))=m(r/2)^(2) .(2pi)/(T_(2))`
Time taken by the ball,
`Tk_(2)=1/4 T_(1)`
`=1/4xx4=1s`
Promotional Banner

Topper's Solved these Questions

  • MOTION OF SYSTEM OF PARTICLES AND BODIES

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTIONS & ANSWER (CONCEPTUAL QUESTIONS)|38 Videos
  • LAW OF MOTION

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTIONS & ANSWERS (VI Numerical Problems)|62 Videos
  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTIONS & ANSWERS (III. Short Answer Questions.)|24 Videos

Similar Questions

Explore conceptually related problems

A satellite moves in a circle around the Earth, the radius of this circle is equal to one half of the radius of the Moon's orbit. The satellite completes one revolution in ........ lunar month.

A mars satellite moving in an orbit of radius 9.4xx10^3 km take 27540 s to complete one revolution. Calculate the mass of mars.

Read the following paragraph carefully and answer the following: Tie a stone to one end of a string. Take the other end in your hand and rotate the string so that the stone moves along a circle. As long as we are holding the string, we are pulling the stone towards us i.e. towards the centre of the circle and are appliying a force towards it. The force stops acting on it if we release the string. In this case, the stone will fly off along a straight line which is the tangent to the circle at the position of the stone when the string is released, because that the directionn of its velocity at that instant of time. You may recall a similar activity in which a 5 rupee coin kept on a rotating circular disc flies off the disc along the tangent to the disc. Thus, a force acts on any object moving along a circle and it is directed towards the centre of the circle. This is called the Centripetal force. The impressed force on the same is in which direction?

A point charge q is rotated along a circle in the electric field generated by anotherj point charge Q. The work done by the electric field on the rotatin charge in one complete revolution is

A tank fills completely in 2 hours if both the taps are open. If only one of the taps is open at the given time, the smaller tap takes 3 hours more than the larger one to fill the tank. How much time does each tap take to fill the tank completely.

A monkey a mass 15 kg is climbing on a rope with one end fixed to the ceiling. If it whishes to go up with an acceleration of 1 m/s^2 , how much force should it apply to the rope? If the rope is 5 m long and the monkey starts from rest, how much time will it take to reach the ceiling?

Orbital velocity V = sqrt((GM)/(R+h)) Suppose the orbit of a satellite is exactly 35780 km above the earth's surface , how much time the satellite will take to complete one revolution around the earth ?

If a planet were suddenly stopped in its circular orbit, how much time it would take to fall onto the Sun. Assume the planets time-period of revolution as T.

PREMIERS PUBLISHERS-MOTION OF SYSTEM OF PARTICLES AND BODIES-OTHER IMPORTANT QUESTIONS & ANSWER (NUMERICAL PROBLEMS)
  1. Two rings have their moemnts of inertia in the ratio of 4:1 and their...

    Text Solution

    |

  2. The power out put of an automobile engine is advertised to be 200 ap a...

    Text Solution

    |

  3. In the following figure radii r1 and r2 are 10 cm and 20 cm respective...

    Text Solution

    |

  4. Find the torque of a corce 7hati-3hatj-5hatk about the origin which a...

    Text Solution

    |

  5. A wheel of mass 8 kg and radius of gyration 25 cm is rotating at 300 r...

    Text Solution

    |

  6. Calculate the moment of inertia of the earth about its diameter taking...

    Text Solution

    |

  7. A body of mass 50 g is revolvig about an axis in a circular path. The ...

    Text Solution

    |

  8. A thin metal hoop of radius 0.25 m and mass 2 kg starts from test and ...

    Text Solution

    |

  9. A torque of 2.0xx10^(-4)Nm is applied to produce an angular accelerati...

    Text Solution

    |

  10. The maximum and minimum distances of a comet from the sun are 1.4xx10^...

    Text Solution

    |

  11. A rod of length L and mass M is hinged at point O. A small bullet of m...

    Text Solution

    |

  12. A bal tied to a sting takes 4 s to complete revolution along a horizon...

    Text Solution

    |

  13. If angular momentum is conserved in a system whose moment of inertia ...

    Text Solution

    |

  14. A star of mass twice the solar mass and radius 10^(6) km rotates about...

    Text Solution

    |

  15. A particle performing uniform circular motion has angular momentum L. ...

    Text Solution

    |

  16. A solid cylinder of mass 20 kg rotates about its axis with angular spe...

    Text Solution

    |

  17. A solid cylinder of mass 20 kg rotates about its axis with angular spe...

    Text Solution

    |

  18. A rope of negligible mass is wound round a hollow cylinder of mass 3 k...

    Text Solution

    |

  19. Keeping the mass of earth constant, if its radius is halved then what ...

    Text Solution

    |

  20. Explain with reason why if ice melts at pole then moment of inertia of...

    Text Solution

    |