The rotation of rod OA about O is defined by the relation ? = 0.5e?0.8t sin 3?t,

Question:

The rotation of rod OA about O is defined by the relation ? = 0.5e?0.8t sin 3?t, where ? and t are expressed in radians and seconds, respectively. Collar B slides along the rod so that its distance from O is r = 1 + 2t ? 6t2 + 8t3, where r and t are expressed in feet and seconds, respectively. When t = 0.5 s, determine(a) The velocity of the collar,(b) The acceleration of the collar,(c) The acceleration of the collar relative to the rod.