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Linear Momentum

Two blocks of...

Question

Two blocks of masses $2 K g$ and $3 K g$ are shown in figure. A force $F$ = $50 N$ is exerted on a $2$ $K g$ block as shown in figure. Find the acceleration of $3 k g$ block.

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Solution

frictional force, $f_{1}$ is given as

$f_{1} = μ_{1} N_{1} = 0.5 \times 2 g = 10 N$

$N_{2} = N_{1} + 3 g = 5 g$

Limiting friction $f_{2}$ is

$f_{2} = μ_{2} N_{2} = 0.3 \times 5 g = 15 N$

here limiting value of $f_{2} > f_{1 m a x}$

Hence, $3 k g$ block doesn't move, acceleration of block ( $3 g$ ) is zero.

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