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a) A particle undergoes simple harmonic motion with an angular velocity of 5 rad s-1 and an amplitude of 50 cm. If it starts with maximum forward amplitude at I = 0, find:

i) the displacement at I = 10 s;

ii) the acceleration at I = 6 s.

iii) the velocity at I = 2 s.

b) i) A 5 kg mass undergoes simple harmonic motion on a spring with a force constant of 70 Nm-1. If the amplitude is 3 m, calculate the maximum velocity.

ii) Briefly explain the meaning of the terms damping and resonance

in relation to systems oscillating with simple harmonic motion.