If block A has a velocity of 0.6,m/s to the r | vedclass

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(C) Let the position of block $A$ be $x_A$ and the position of block $B$ be $y_B$ (measured downwards from the fixed pulley).From the diagram,the stri

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$1.8\,m/s$ in upward direction

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(C) Let the position of block $A$ be $x_A$ and the position of block $B$ be $y_B$ (measured downwards from the fixed pulley).From the diagram,the string length constraint can be analyzed. The string connected to block $A$ passes through a movable pulley system.Let the displacement of block $A$ be $x$. As block $A$ moves to the right by $x$,the string length associated with the pulley system changes.Specifically,the movable pulley attached to block $A$ is connected to a string that goes around another pulley. By analyzing the segments of the string,we find that for a displacement $x$ of block $A$,the displacement of block $B$ is $3x$.Given the velocity of block $A$ is $v_A = 0.6\,m/s$ to the right.The velocity of block $B$ is $v_B = 3 	imes v_A = 3 	imes 0.6\,m/s = 1.8\,m/s$.Since block $A$ moves to the right,the string pulls block $B$ upwards.Therefore,the velocity of block $B$ is $1.8\,m/s$ in the upward direction.

If block $A$ has a velocity of $0.6\,m/s$ to the right,determine the velocity of block $B$.

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