Question

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

Answer 1

frictional force, $f_1$ is given as

$f_1={\mu }_1{N}_1=0.5\times 2g=10N$

$N_2=N_1+3g=5g$

Limiting friction $f_2$ is

$f_2={\mu }_2{N}_2=0.3\times 5g=15N$

here limiting value of $f_2>f_{1max}$

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