Massspring problem A mass is suspended from a spring The mas

Mass-spring problem. A mass is suspended from a spring. The mass is pulled down 10cm and released. The mass is observed to oscillate with a period of pi/6 per sec. Write the displacement formula d = Acos(wt) cm at time t seconds.

Solution

Amplitude = 10cm

f = pi/6

angular frequency = 2pi*f = 2pi*(pi/6) = pi^2/3

Displacement x = Asin(wt) = 10sin(pi^2*t/3)