Chapter 15.1, Problem 15.3P

The motion of an oscillation flywheel is defined by the relation $\theta ={\theta }_0{e}^{-7\pi t/6}$ sin $4\pi t$ , where $\theta$ is expressed in radians and t in seconds. Knowing that ${\theta }_0=0.4$ rad, determine the angular coordinate, the angular velocity, and the angular acceleration of the flywheel when (a) $t=0.125s$ , (b) $t=\infty$ .