Question

As shown in figure mass of bodies is equal to $m$ each. If coefficient of friction between horizontal surface and mass is $0.2$. Find the acceleration of the system.

Answer 1

Let the acceleration of the system be $a$.

Considering the body on the surface,

$T-\mu N=ma$
$⟹T-\mu mg=ma$

Considering the hanging mass,

$mg-T=ma$

From the two equations,

$(\mu +1)mg=2ma$

$⟹a=\frac{(\mu +1)g}{2}=0.6g$