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Question 19.16: A mass secured at the end of a spring moves with s.h.m. The ...

A mass secured at the end of a spring moves with s.h.m. The frequency of its motion is 1.4 Hz.

a Write an equation of the form a = −ω²x to show how the acceleration of the mass depends on its displacement.

b Calculate the acceleration of the mass when it is displaced 0.050 m from its equilibrium position.

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a Angular frequency
ω = 2πf = 2 × π × 1.4 = 8.80 s^{-1}

So a = –ω²x = –77.4x
b Acceleration = –77.4 × 0.050 = 3.9 m s^{-2}

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