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A block in SHM starts from + A position....

A block in SHM starts from `+ A` position. Write `S - t` equation of the block, if `S` is measured from `-A`.

Text Solution

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The correct Answer is:
A, C


When the block starts from `+ A` and `x` at any time 't' is measured from the mean position, then
`x = A cos omega t`
In the figure, we can see that
`S = A + x`or `S = A + A cos omega t` or `S = A(1 + cos omega t)`
Check From the equation we can see that,
`S = 2A` at `t = 0`
`S = A` at `t = (T)/(4)` and `omega = (2pi)/(T) rArr omega t = (pi)/(2)`
`S = 0` at `T = (T)/(2)` and `omega = (2pi)/(T) rArr omega t = pi` .
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Knowledge Check

  • If the particle in linear S.H.M. starts from the extreme left position, then its equation of motion is given by

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