Home
Class 12
PHYSICS
A particle performing S.H.M. has a veloc...

A particle performing S.H.M. has a velocity of 10 m/s, when it crosses the mean position. If the amplitude of oscillation is 2 m, then what is the velocity at midway between mean position and extreme position ?

Text Solution

Verified by Experts

Velocity at mean position is maximum
`v_max=aomega`
`therefore 10=2xxomega`
` therefore omega=5`
v=omegasqrt(a^2-x^2) =5sqrt((2)^2-(1)^2)`
`=5xxsqrt3 m//s.`
Promotional Banner

Topper's Solved these Questions

  • OPTICAL INSTRUMENTS

    MBD PUBLICATION|Exercise QUESTION BANK|116 Videos
  • PHYSICAL WORLD AND MEASUREMENT

    MBD PUBLICATION|Exercise QUESTION BANK|295 Videos

Similar Questions

Explore conceptually related problems

A particle performing S.H.M. has a velocity of 3.14 cm/s, 2 second after crossing the equilibrium position, if the period of its motion is 6 second, Find its amplitude.

A particle performing S.H.M. has a period of 6 second and its maximum velocity during oscillation is 6.28 cm/s. Find the time required by it to cover a distance of 3 cm from its mean position.

A particle perfroming S.H.M. gas a period of 6 sec and its maximum velocity during the oscillation is 6.28 cm/sec. Find the time required by it to cover a distance of 3 cm from its mean position.

MBD PUBLICATION-OSCILLATIONS -Question Bank
  1. A particle perfroming S.H.M. gas a period of 6 sec and its maximum vel...

    Text Solution

    |

  2. A particle performing S.H.M. has an acceleration of 0.2 m//s^2 at a di...

    Text Solution

    |

  3. A particle performing S.H.M. has a velocity of 10 m/s, when it crosses...

    Text Solution

    |

  4. A needle of sewing machine moves in path of amplitude 2 cm and has a f...

    Text Solution

    |

  5. A body is executing S.H.M. with maximum velocity of 16 cm/s and amplit...

    Text Solution

    |

  6. The maximum velocity of a particle performing S.H.M. is 6.28 cm/s. If ...

    Text Solution

    |

  7. A particle performing linear S.H.M. has a period 2pi seconds and an am...

    Text Solution

    |

  8. A particle performs S.H.M. of amplitude 10 cm. Its maximum velocity du...

    Text Solution

    |

  9. A body in linear S.H.M. has maximum velocity, when it crosses the mean...

    Text Solution

    |

  10. A particle undergoes S.H.M. with a time period of 2 seconds. In how mu...

    Text Solution

    |

  11. A particle performing S.H.M. starting from mean position has period 2 ...

    Text Solution

    |

  12. A particle performing S.H.M. starting from mean position has period 2 ...

    Text Solution

    |

  13. A particle performing S.H.M. has an acceleration of 0.2 m//s^2 at a di...

    Text Solution

    |

  14. A particle performing S.H.M. has a velocity of 10 m/s, when it crosses...

    Text Solution

    |

  15. The distance travelled by a particle performing S.H.M. from its mean p...

    Text Solution

    |

  16. A particle performing linear S.H.M. has a maximum displacement of 0.1 ...

    Text Solution

    |

  17. A particle perfroming S.H.M. gas a period of 6 sec and its maximum vel...

    Text Solution

    |

  18. The displacemnet of particle executing simple harmonic motion is given...

    Text Solution

    |

  19. The displacement of a particle is represented by x=10 sin(5t+phi). Wha...

    Text Solution

    |

  20. The displacement x(in metres) of a particle in simple harmonic motion ...

    Text Solution

    |