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Determine the speed of cylinder A, if the rope is drawn towards the motor M at a constant rate of 10 m/s .

Step-by-step

Position Coordinates: By referring to Fig. a, the length of the rope written in terms of the position coordinates s_{A} and s_{M} is

3 s_{A}+s_{M}=l

(+\downarrow)  3 v_{A}+v_{M}=0

Here, v_{M}=10 m/s . Thus,

3 v_{A}+10=0

v_{A}=-3.33 m/s=3.33 m/s\uparrow

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