Home
Class 11
PHYSICS
For a particle oscillating along x-axis ...

For a particle oscillating along x-axis according to equation `x =A sin omegat`
The mean value of its velocity averaged over first `3//8` of the period is

A

`0.3 Aw`

B

`0.55Aw`

C

`Aw`

D

`0.1Aw`

Text Solution

Verified by Experts

The correct Answer is:
C
`|V_(ave)| = |(int_(0)^(3T//8)Aw cos wt dt)/(int_(0)^(3T//8)dt)|`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A particle moves along x-axis according to relation x= 1+2 sin omegat . The amplitude of S.H.M. is

A particle moves on y-axis according to the equation y = A +B sin omegat . Amplitude of motion is

A particle move along y-axis according to equation y +3+4 cos omega t . The motion of the particle is

A particle moves on the X-axis according to the equation x=x_0 sin^2omegat . The motion simple harmonic

At the moment t=0 a point starts oscillating along the x axis according to the lasw x=a sin omegat t . Find: (a) the mean value of its velocity vector projection ( : v_(x) : ) , (b) the modulus of the mean velocity vector |( : v : )| , (c) the mean value of the velocity modulus ( : v : ) averaged over 3//8 of the period after the start.

A particle moves on the X- axis according to the equation x = x_(0) sin^(2)omegat . The motion is simple harmonic

A particle moves along the x-axis according to the equation x=a sin omega t+b cos omega t . The motion is simple harmonic with

A particle moves on the x -axis according to the equation x=x_(0)sin2 omega t .The motion is simple harmonic ?

A particle moves along the X -axis according to to the law S=a sin^(2)(omegat-pi//4) The amplitude of the oscillation is

A particle moves along the X -axis according to to the law S=a sin^(2)(omegat-pi//4) The time period of oscillations is

NARAYNA-OSCILLATIONS-Passage
  1. A small block of mass m is fixed at upper end of a massive vertical sp...

    Text Solution

    |

  2. A block of mass m is suspended from one end of a light spring as shown...

    Text Solution

    |

  3. A block of mass m is suspended from one end of a light spring as shown...

    Text Solution

    |

  4. A block of mass m is connected to a spring constant k and is at rest i...

    Text Solution

    |

  5. A block of mass m is connected to a spring constant k and is at rest i...

    Text Solution

    |

  6. A plank of mass M is placed on a smooth hroizonal surface. Two light i...

    Text Solution

    |

  7. Two blocks of masses 3kg block is attached to a spring with a force co...

    Text Solution

    |

  8. Two blocks of masses 3kg block is attached to a spring with a force co...

    Text Solution

    |

  9. A cube made of wood having specific gravity 0.4 and side length a is f...

    Text Solution

    |

  10. A cube made of wood having specific gravity 0.4 and side length a is f...

    Text Solution

    |

  11. A block is attached to a spring and is placed on a horizontal smooth s...

    Text Solution

    |

  12. A block is attached to a spring and is placed on a horizontal smooth s...

    Text Solution

    |

  13. A block is tied within two spring, each having spring constant equal t...

    Text Solution

    |

  14. A block is tied within two spring, each having spring constant equal t...

    Text Solution

    |

  15. For a particle oscillating along x-axis according to equation x =A sin...

    Text Solution

    |

  16. For a particle oscillating along x-axis according to equation x =A sin...

    Text Solution

    |

  17. The distabce travelled in a time, t by a particle moving along x-axis ...

    Text Solution

    |

  18. Using graphical means find an amplitude a of oscillations resulting fr...

    Text Solution

    |

  19. A point moves in the plane y according to the law x = A sin omegat, y ...

    Text Solution

    |

  20. A point moves in the plane y according to the law x = A sin omegat, y ...

    Text Solution

    |