A torsion pendulum is an object suspended by a wire or rod so that its plane of rotation is horizontal and it rotates back and forth around the wire without losing energy. Suppose that the pendulum is rotated θm radians and released. Then the angular displacement θ at time t is θ = θm cos ωt, where ω is the angular frequency in radians per second. Suppose the angular frequency of a certain torsion pendulum is radians per second and its initial rotation is π/4 radians.
a. Write the equation for the angular displacement of the pendulum.
b. What are the first two values of t for which the angular displacement of the pendulum is 0?
