The motion of an oscillating flywheel is defined by the relation = 0e3t cos4t, where

The motion of an oscillating flywheel is defined by the relation θ = θ0e−3πt cos4πt, where θ is expressed in radians and t in seconds. Knowing that θ0 = 0.5 rad, determine the angular coordinate, the angular velocity, and the angular acceleration of the flywheel when
(a) t = 0,
(b) t = 0.125 s.