Question

A weight on the end of a coiled spring is pulled
10cm
below its resting position. The weight is released at time
=t0
seconds and moves upward, oscillating in simple harmonic motion. It completes one cycle in
3
seconds. (Note that upward is the positive direction.)
Give the equation modeling the displacement
d
as a function of time
t
.

Answer 1

T = 3
so
f = 1/T = .333 Hz
omega = 2 pi f = 2.09 radians/s

at t = t0, d = -10
Amplitude = 10

d = -10 cos [ omega (t - t0) ]

that is -10 when t = t0

Answer 2

Thank you