Force Law for SHM

• Newton’s second law F = m a

• ‘a’ non-zero ==> there is a force

• F = ma = m(- ?2x) = -m ?2x = - k x

• force ? -displacement (in oppositedirection)

• Hooke’s law for springs with k = m ?2

• SHM d2x/dt2 = - ?2x

• or F = - k x

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