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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

`0.3Aw`

B

`0.1Aw`

C

`Aw`

D

`0.5Aw`

Text Solution

Verified by Experts

The correct Answer is:
A
`V_(ave) = (int_(0)^(3T//8)Aw cos wt dt)/(int_(0)^(3T//8)dt)`
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Knowledge Check

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

    A
    2
    B
    1
    C
    `sqrt(5)`
    D
    3

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

    A
    `A`
    B
    `B`
    C
    `sqrt(A^(2)+B^(2))`
    D
    `A -B`

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

    A
    circular
    B
    periodic but not `SHM`
    C
    `SHM`
    D
    oscillatory but not `SHM`