Chapter 15.1, Problem 15.2P

The motion of an oscillation flvdee1 is defined by the relation $\theta ={\theta }_0{e}^{-3\pi t}\cos 4\pi t$, where $\theta$ is expressed in radians and m seconds. Knowing that $\theta =0.5$ rad, determine the angular coordinate, the angular velocity, and the angular acceleration of the flywheel when (a) $t=0$ , (b) $t=0.1255s$.