Home
Class 11
PHYSICS
The angular velocity and amplitude of si...

The angular velocity and amplitude of simple pendulum are `omega` and r respectively. At a displacement x from the mean position, if its kinetic energy is T and potential energy is U, find the ration of T to U.

A

`X^2omega^2//(a^2-X^2omega^2)`

B

`X^2//(a^2-X^2)`

C

`(a^2-X^2omega^2)//X^2omega^2`

D

`(a^2-X^2)//X^2`

Text Solution

Verified by Experts

The correct Answer is:
B

`T/V=(1/2momega^2(a^2-X^2))/(1/2momega^2X^2)=(a^2-X^2)/(X^2)`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    CP SINGH|Exercise Exercises|125 Videos
  • ROTATIONAL MOTION

    CP SINGH|Exercise Exercise|172 Videos
  • SOUND WAVES

    CP SINGH|Exercise Exercises|130 Videos

Similar Questions

Explore conceptually related problems

The amgular velocity and the amplitude of a simple pendulum is omega and a respectively. At a displacement x from the mean position, if its kinetic energy is T and potential energy is U, then the ratio of T to U is

The amplitude of a simple pendulum is 10 cm. When the pendulum is at a displacement of 4 cm from the mean position, the ratio of kinetic and potential energies at that point is

If A is amplitude of a particle in SHM, its displacement from the mean position when its kinetic energy is thrice that to its potential energy

A simple pendulum is oscillating with amplitude 'A' and angular frequency ' omega ' . At displacement 'x' from mean position, the ratio of kinetic energy to potential energy is

A particle executes simple harmonic motion of ampliltude A. At what distance from the mean position is its kinetic energy equal to its potential energy?

A particle is executing SHM of amplitude A. at what displacement from the mean postion is the energy half kinetic and half potential?

A particle executes simple harmonic motion with an amplitude 9 cm. At what displacement from the mean position, energy is half kinetic and half potential ?

CP SINGH-SIMPLE HARMONIC MOTION-Exercises
  1. The potential energy of a particle with displacement X is U(X). The mo...

    Text Solution

    |

  2. The kinetic energy and potential energy of a particle executing simple...

    Text Solution

    |

  3. The angular velocity and amplitude of simple pendulum are omega and r ...

    Text Solution

    |

  4. A verticle mass-spring system executed simple harmonic ascillation wit...

    Text Solution

    |

  5. A particle executes simple harmonic motion with a frequency. (f). The ...

    Text Solution

    |

  6. When a particle oscillates simple harmonically, its potential energy v...

    Text Solution

    |

  7. There is a body having mass m and performing SHM amplitude a There is ...

    Text Solution

    |

  8. A body is executing simple harmonic motion. At a displacement x its po...

    Text Solution

    |

  9. Starting from the origin a body osillates simple harmonicall with a pe...

    Text Solution

    |

  10. If a simple harmonic oscillator has got a displacement of 0.02m and ac...

    Text Solution

    |

  11. A point simple harmonic oscilation of the period and the equation of m...

    Text Solution

    |

  12. Two simple harmonic are represented by the equation y(1)=0.1 sin (100p...

    Text Solution

    |

  13. The time period of simple pendulum is T. If its length is increased by...

    Text Solution

    |

  14. The length of a simple pendulum is increased by 44%. The percentage in...

    Text Solution

    |

  15. A simple pendulum is oscillating in a lift. If the lift starts moving ...

    Text Solution

    |

  16. A girl is swinging on a swing in the sitting position. How will the pe...

    Text Solution

    |

  17. A metallic sphere is filled with water and hung by a long thread. It i...

    Text Solution

    |

  18. A simple pendulum suspended from the ceiling of a trans has a time per...

    Text Solution

    |

  19. A simple pendulum is set up in a trolley which moves to the right with...

    Text Solution

    |

  20. A simple pendulum of length l is suspended from the celing of a cart ...

    Text Solution

    |