The tractor A is used to hoist the bale B with the pulley arrangement shown. If A has a forward velocity v A, determine an expression for the upward velocity v B of the bale in terms of x.
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
We designate the position of the tractor by the coordinate x and the position of the bale by the coordinate y, both measured from a fixed reference. The total constant length of the cable is
L = 2(h – y) + λ = 2 (h – y) + 
Differentiation with time yields
0 = – 
+ 
Substituting v A = 
and v B = 
gives
v B = 
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