Question: We know that a particle performs a SHM and that at instant t1 = 10 s its position, velocity and acceleration are respectively equal to

We know that a particle performs a SHM and that at instant t1 = 10 s its position, velocity and acceleration are respectively equal to x1 = −5.8438 mm, v1 = 61.199 mm/s and a1 = 11834 mm/s 2 .

Determine:

(a) What is the period of the motion?

(b) Find the equation x(t) of motion.

(d) Answer the previous question but without requiring now that the velocity is necessarily v1.

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