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(c) (9 marks) A light spring of stiffness 50.0 Nm”1 hangs vertically with its lower end...

(c)
A light spring of stiffness 50.0 Nm”1 hangs vertically with its lower end at a point O
when no load is attached.
(i) Outline what is meant by simple harmonic motion.
(ii) If a small mass of 0.50 kg is now attached to the end of the spring, how far does the
mass sag relative to point O?
The mass is now pulled down and released (from rest) at a point 0.15 m below O.
(iii) Write an equation to describe the position of the mass, as measured from the
origin at O, as a function of time t, from the instant the mass is released.

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