Chapter 6.4, Problem 24PE

The bob on a simple pendulum is pulled to the left 4 in. from its equilibrium position. After release, the pendulum makes one complete back-and-forth cycle in $2\text{ sec}$ and follows simple harmonic motion.

a. What is the period of motion?

b. What is the frequency?

c. What is the amplitude?

d. Write a function to model the displacement (in inches) of the bob as a function of the time $t$ (in seconds) after release. Assume that a displacement to the right of the equilibrium position is positive.

e. Find the position and direction of movement of the bob at $t=1.25\sec$ .