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The motion of a particle varies with tim...

The motion of a particle varies with time according to the relation `y=a (sinomegat + cos omegat)` ,then

A

The motion is oscillatory but not S.H.M.

B

The motion is S.H.M. with amplitude a

C

The motion is S.H.M. with amplitude ` a sqrt2`

D

the motion is S.H.M with amplitude 2a

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The displacement of a particle varies with time according to the relation y=a sin omega t +b cos omega t .

    A
    The motion is oscillatory but not S.H.M.
    B
    The motion is S.H.M. with amplitude `a+b`
    C
    The motion is S.H.M. with amplitude `a^(2)+b^(2)`.
    D
    The motion is S.H.M. with amplitude `sqrt(a^(2)+b^(2))`

  • The displacement of a particle varies with time according to the relation y=asinomega+bcosomegat .

    A
    The motion is oscillatory but not SHM.
    B
    The motion is SHM with amplitude `a+b`.
    C
    The motion is SHM with amplitude `a^(2)+b^(2)`
    D
    The mostion is SHM with amplitude `sqrt(a^(2)+b^(2))`.

  • The diplacement of a particle varies with time according to the relation y=a"sin"omegat+b " cos"omegat .

    A
    The motion is oscillatory but not SHM
    B
    The motion is SHM with amplitude a+b
    C
    The motion is SHM with amplitude `a^(2)+b^(2)`
    D
    The motion is SHM with amplitude `sqrt(a^(2)+b^(2))`

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