Home
Class 11
PHYSICS
The mean velocity of a particle performi...

The mean velocity of a particle performing `S.H.M.` with time epriod of `0.6s` and amplitude of `10cm` averaged over a time interval during which it travels a distance fo `5cm`, starting from exterme position is

A

`0.5m//s`

B

`0.7m//s`

C

`0.3m//s`

D

`1.04m//s`

Text Solution

Verified by Experts

The correct Answer is:
A

`underset("average")V=(int_(theta)^(T//6)-a omega sin omegat.dt)/(int_(0)^(T//6)dt)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The velocity of a particle performing S.H.M. at mean position is

A particle performs SHM with a period T and amplitude a. The mean velocity of the particle over the time interval during which it travels a distance a/2 from the extreme position is

A particle performs harmonic oscillations along a straight line with a period of 6s and amplitude 4 cm. The mean velocity of the particle averaged over the time interval during which it travels a distance of 2 cm starting from the extreme position is

A particle performs harmonic ascillations along a straight line with a period T and amplitude a The mean velocity of the particle averaged over the time interval during which it travels a distance a/2 starting from the extreme position is:

A particle performs SHM with a period T and amplitude a. The mean velocity of particle over the time interval during which it travels a//2 from the extreme position is

A point performs harmonic oscillations along a straight line with a period T=0.60 s and amplitude a = 10.0 cm . Find the mean velocity of the point averaged over the time interval during which it travels a distance z//2 , starting from (a) the extreme position. (b) the equilibrium position.

A particle performs SHM with a period T and amplitude a. The mean velocity of the particle over the time interval during which it travels a distance a/2 from the extreme position is (xa)/(2T) . Find the value of x.

A particle performs linear S.H.M. of period 4 seconds and amplitude 4 cm. Find the time taken by it to travel a distance of 1 cm from the positive extreme position.

The phase of a particle performing S.H.M. when the particle is at a distance of amplitude from mean position is

A particle executing SHM with time period T and amplitude A. The mean velocity of the particle averaged over quarter oscillation, is

NARAYNA-OSCILLATIONS-SINGLE ANSWER QUESTIONS
  1. A thin uniform vertical rod of mass m and length l pivoted at point O ...

    Text Solution

    |

  2. A thin-walled tube of mass m and radius R has a rod of mass m and vry ...

    Text Solution

    |

  3. An elastic string of constant k is attached to a block of mass m as sh...

    Text Solution

    |

  4. A ring of mass m can freely slide on a smooth vertical rod. The ring i...

    Text Solution

    |

  5. A light inextensible string carrying a springs is passed over two smoo...

    Text Solution

    |

  6. Consider a swing whose one end is fixed above the other rope by ''b'. ...

    Text Solution

    |

  7. A horizontal rod of mass m and length L is pivoted at one end The rod'...

    Text Solution

    |

  8. Four identical bars of mass m, length l are connected by pins at A,B,C...

    Text Solution

    |

  9. A rod of mass m and length l is pivoted at a point O in a car whose ac...

    Text Solution

    |

  10. A body A of mass moving with velocity v while passing through its mean...

    Text Solution

    |

  11. Two particles move parallel to x-axis about the origin with same ampli...

    Text Solution

    |

  12. From what minimum height hmust the system be released when spring is u...

    Text Solution

    |

  13. The mean velocity of a particle performing S.H.M. with time epriod of ...

    Text Solution

    |

  14. Find the period of small oscillations in a vertical plane performed b...

    Text Solution

    |

  15. The maximum velocity of a point undergoing simultaneous two oscillatio...

    Text Solution

    |

  16. A particle pendulum is positioned such that is centre of gravity is ve...

    Text Solution

    |

  17. A fly wheel of mass 35kg swings as pendulum about a knife-edge as show...

    Text Solution

    |

  18. A thin uniform plate shaped as an equilateral triangle with a height '...

    Text Solution

    |

  19. A smooth horizontal disc rotates about the vertical axis O (figure) wi...

    Text Solution

    |

  20. Two balls with masses m(1) =1kg and m(2) = 2kg are slipped on a thin s...

    Text Solution

    |