Physics

A block is executing simple harmonic motion on a frictionless surface with an amplitude of .100m. At a point 0.060m away from equilibrium point the speed of the block is 0.320m/s. What is the period? What is the displacement when the speed is 0.20m/s?

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  1. x = .1 sin w t for example
    where w = 2 pi f = 2 pi/T
    then
    v = .1 w cos wt

    when x = .06 , v = .320, t = t1 for example
    .06 = .1 sin w t1
    .320 = .1 w cos w t1
    so
    sin w t1 = .6
    w t1 = .6435 radians
    .320 = .1 w cos .6435
    w = 4
    so
    2 pi/T = 4
    T = pi/2 = 1.57 seconds
    I think you can take it from there.

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