Solve Prob. 20–33 if the connection at B consists of a pin as shown in the figure below, rather than a ball-and-socket joint. The constraint allows rotation of the rod both along the bar (j direction) and along the axis of the pin (n direction). Since there is no rotational component in the u direction, i.e., perpendicular to n and j where u = j * n, an additional equation for solution can be obtained from ω · u = 0. The vector n is in the same direction as r_D/B : r_C/B.

Solve Prob. 20–33

If the rod is attached with ball-and-socket joints to smooth collars A and B at its end points, determine the velocity of B at the instant shown if A is moving upward at a constant speed of v_A = 5 ft/s. Also, determine the angular velocity of the rod if it is directed perpendicular to the axis of the rod.

B C