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Relative Velocity in 2D

Two blocks of...

Question

Two blocks of masses $m_{1} = 1 K g$ and $m_{2} = 2 K g$ are connected by a string. An external force of $2 N$ is exerted on a $2 K g$ block as shown in figure. Coefficient of friction between the blocks and the floor is 0.4 and 0.5 as shown in figure. Find the tension force between the two blocks.

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Solution

$f_{B} = μ_{B} (m_{B} g) = 0.4 \times 1 \times 10 = 4 N$

$f_{A} = μ_{A} (m_{A} g) = 0.5 \times 2 \times 10 = 10 N$

Here, $F < f_{A}$ frictional force between A and ground.

Hence block A doesn't move. Then tension, $T = 0$

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