Home
Class 12
PHYSICS
A stone of mass m, tied to the end of a ...

A stone of mass m, tied to the end of a string, is whirled around in a horizontal circle. (Neglect the force due to gravity). The length of the string is reduced gradually keeping the angular momentum of the stone about the centre of the circle constant. Then, the tension in the string is given by T = `Ar^(n)` where A is a constant, r is the instantaneous radius of the circle and n

A

1

B

-1

C

-2

D

-3

Text Solution

Verified by Experts

The correct Answer is:
4
L=mvr=constant `T=(mv^2)/r=m/r.L/(m^2r^2)=L/mr^(-3)`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE-1|4 Videos

  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE-2|5 Videos

  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE F|10 Videos

  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise 7-previous year question|46 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IMPECCABLE|56 Videos

Similar Questions

Explore conceptually related problems

A stone of mass 0.3 kg attched to a 1.5 m long stirng is whirled around in a horizontal cirlcle at a speed of 6 m/s The tension in the string is

Stone of mass 1 kg tied to the end of a string of length 1m , is whirled in horizontal circle with a uniform angular velocity 2 rad s^(-1) . The tension of the string is (in newton)

A stone of mass 0.1 kg tied to one end of a string lm long is revolved in a horizontal circle at the rate of (10)/(pi)" rev/s" . Calculate the tension in the string.

A stone of mass 2.0 kg is tied to the end of a string of 2m length. It is whirled in a horizontal circle. If the breaking tension of the string is 400 N, calculate the maximum velocity of the stone.

At stone is tied to the end of a string and is whirled in a horizontal aide with a constant speed. Suppose the string breaks suddenly. What happens to the stone ?

A stone of mass 100 g tied to the end of a string 80 cm long is whirled in a horizontal circle with a constant speed.If the stone makes 14 revolutions in 25 s, calculate the centripetal force acting on the stone.

A particle is fastened at the end of a string and whirled in a vertical circle with the other end of the string being fixed. The motion of the particle is

A stone is tied to one end of a string and rotated in horizontal circle with a uniform angular velocity. The tension in the string is T, if the length of the string is halved and its angular velocity is doubled , the tension in the string will be

A stone of mass 5 kg is tied to a string of length 10 m is whirled round in a horizontal circle. What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200 N?

A stone tied at the end of sring is whirled in a circle. If the string break , the stone flies away tangentially . Why ?

VMC MODULES ENGLISH-SYSTEM OF A PARTICLES & ROTATIONAL MOTION-SOLVED EXAMPLES
  1. A wheel of mass M and radius a and M.I. IG (about centre of mass) is s...

    Text Solution

    |

  2. A rod standing vertically on a table falls down. What will be the line...

    Text Solution

    |

  3. A constant torque acting on a uniform circular changes its angular mom...

    Text Solution

    |

  4. A disc rolls over a horizontal floor without slipping with a linear sp...

    Text Solution

    |

  5. If the moment of inertia of a disc about an axis tangential and parall...

    Text Solution

    |

  6. Two particles A and B are moving as shown in figure. At this moment of...

    Text Solution

    |

  7. A circular loop and a disc have the same mass and roll without slippin...

    Text Solution

    |

  8. A wheel initially at rest, is rotated with a uniform angular accelerat...

    Text Solution

    |

  9. A constant horizontal force F is applied on the top of a solid sphere ...

    Text Solution

    |

  10. A wheel of radius r rolls without slipping with a speed v on a horizon...

    Text Solution

    |

  11. A uniform rod of mass m and length l rotates in a horizontal plane wit...

    Text Solution

    |

  12. A cubical block of side a is moving with velocity v on a horizontal sm...

    Text Solution

    |

  13. A mass M is supported by a massless string wound round a uniform cylin...

    Text Solution

    |

  14. A stick of length L and mass M lies on a frictionless horizontal surfa...

    Text Solution

    |

  15. A man spinning in free space can change the moment of inertia of his b...

    Text Solution

    |

  16. A stone of mass m, tied to the end of a string, is whirled around in a...

    Text Solution

    |

  17. A uniform bar of mass m and length L is horizontally suspended from th...

    Text Solution

    |

  18. A block of mass m is at rest under the action of F against the wall as...

    Text Solution

    |

  19. Two men support a uniform horizontal beam at its two ends, if one of t...

    Text Solution

    |

  20. A sphere S rolls without slipping with a constant speed on a plank P. ...

    Text Solution

    |