The angular acceleration of the 600-mm-radius circular plate shown is defined by the relation a = a 0 e - t . Knowing that the plate is at rest when t = 0 and that a0 = 10 rad/s 2 , determine the...

The angular acceleration of the 600-mm-radius circular plate shown is defined by the relation a = a₀e
^-t . Knowing that the plate is at rest when t = 0 and that a0 = 10 rad/s²
, determine the magnitude of the total acceleration of point B when (a) t = 0, (b) t = 0.5 s, (c) t = `.