Sample Problem 3: The motion of the collar at A is controlled by a motor B such that when the collar is at s=3 ft, it is moving upwards at 2 ft/sec and slowing down at 1 ft/sec.
Find:
a. The velocity of the cable as it is drawn into the motor B at this instant.
b. The acceleration of the cable as it is drawn into the motor B at this instant.
Solution:
Answer: vc = vg = 1.20 ft/sec, ac = ag = 1.11 ft/sec
Sample Problem 4: The cable is attached to the block B at E, wraps around three pulleys, and is tied to the back of the truck. When xp = 0, xg = 5 m, the points C and D are at the same elevation. If the truck starts from rest when xp is zero and moves forward with a constant acceleration of ap = 2 m/sec, then
ap = 2 m/g
Find: The speed v of block B at the instant when xp = 3 m.
Hint: Please note that speeds v, Vc, and vg should all be equal.
Solution:
Answer: vg = 0.594 m/sec