In the following mass-pulley system shown in figure – 1 and figure – 2 two blocks A and B are connected as shown. Find the possible correct relation(s) between their velocities

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Constraint equation in figure – 1 is $v_{B} - 5 v_{A} = 0$

Constraint equation figure – 2 is $v_{B} - 4 v_{A} = 0$

In figure – 1 and figure – 2 $\frac{v_{B}}{v_{A}} = 3$ and $\frac{v_{B}}{v_{A}} = \frac{1}{2}$

In figure – 1 and figure – 2, $\frac{v_{B}}{v_{A}} = 3 a n d \frac{v_{B}}{v_{A}} = 2$

answer is B.

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Detailed Solution

$3 T υ_{A} = T υ_{B}$

$3 υ_{A} = υ_{B}$

$2 T υ_{A} = T υ_{B}$

$2 υ_{A} = υ_{B}$

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