The oscillation of rod OA about O is defined by the relation ( = 4/)(sin t), where and t are expressed in radians and

The oscillation of rod OA about O is defined by the relation (θ = 4/π)(sin πt), where θ and t are expressed in radians and seconds, respectively. Collar B slides along the rod so that its distance from O is r = 10 / (t + 6), where r and t are expressed in mm and seconds, respectively. When t = 1 s, determine (a) The velocity of the collar,

(b) The total acceleration of the collar,

(c) The acceleration of the collar relative to the rod.

0 B A