Question

The frequency of oscillation of an object suspended on a spring depends on the stiffness k of the spring (called the spring constant) and the mass m of the object. If the spring is compressed a distance a and then allowed to oscillate, its displacement is given by the following.

f(t)=acos(√k/m)t

(a) A 13 g mass is suspended from a spring with stiffness k = 8. If the spring is compressed a distance 9 cm and then released, find the equation that describes the oscillation of the spring.

f(t)=__________