The garage door AB has a weight of 80 lb and can be approximated as a thin plate

Question

The garage door AB has a weight of 80 lb and can be approximated as a thin plate. During operation, a small roller at B is guided along the fixed horizontal track, while the two arms AC located on each side of the door are used to guide the bottom of the door along a circular arc having a center at D and a radius of 4 ft. If the end A of the door is given a horizontal velocity of 3 ft/s to the left and the door has a clockwise angular velocity omega AB = 2 rad/s when theta = 0degree and ADC is vertical, determine the velocity of A at the instant the door becomes fully open, i.e., theta= 90 degree . Each of the two springs has a stiffness of 50 lb/ft and an unstretched length of 1 ft. Neglect the mass of the arms ADC.

Explanation / Answer

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