An object oscillates with simple harmonic motion according to the equation x=1.7

Question

An object oscillates with simple harmonic motion according to the equation x=1.75 sin(1.25t) meters.

a) Calculate the period, frequency, and amplitude.

b) Calculate the displacement at 1.82 seconds

c) Calculate the velocity at 1.82 seconds.

d) If this represents the motion of a vibrating spring with a stiffness of 196N/m, what mass is suspended from the spring?

e) If this represents the motion of a simple pendulum on earth, what is the length of the pendulum?

g) Was this motion initiated by striking the mass or pendulum bob with a sharp force or by displacing the spring or pendulum bob and then releasing?

Explanation / Answer

x=1.75 sin(1.25t) meters.

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