Chapter $10$ Section $4$:

$45.$ B $.$ The length of a simple pendulum is $0\mathrm{.}79$ m and the mass of the particle $($the "bob"$)$ at the end of the cable is $0\mathrm{.}24$ kg $.$ The pendulum is pulled away from its equilibrium position by an angle of $8\mathrm{.}50$ and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion.

$($a$)$ What is the angular frequency of the motion?

$($b$)$ Using the position of the bob at its lowest point as the reference level, determine the total mechanical energy of the pendulum as it swings back and forth.

$($c$)$ What is the bob's speed as it passes through the lowest point of the swing?