Chapter 16.2, Problem 67E

(a)

To determine

To calculate: The vertical position of a mass on a spring that is going through simple harmonic motion at $t=0$ such that its vertical position at time t seconds is given by the equation $p\left(t\right)=1.2\cos \left(5\pi t+\pi \right)$ centimeters below the rest position.

(b)

To determine

To calculate: The speed of mass moving and the direction of motion at times $t=0$ and $t=0.1$ on a spring undergoing simple harmonic motion so that its vertical position at time t seconds is given by the equation $p\left(t\right)=1.2\cos \left(5\pi t+\pi \right)$ centimeters below the rest position.

(c)

To determine

To calculate: The frequency of oscillation of the spring undergoing simple harmonic motion so that its vertical position at time t seconds is given by $p\left(t\right)=1.2\cos \left(5\pi t+\pi \right)$ centimeters below the rest position where the frequency of oscillation is defined as the reciprocal of the period.