Question

A mass of 8 kg rests on a rough horizontal surface and is attached to a mass of 4 kg kept hanging downwards by a string passing over a smooth light pulley. If $\mu$ = 0.5, find the acceleration of the system and the tension in the string. (g = 9.8 $m/s^2$)(1.31 m/s, 33.96 N)

Answer 1

$mg-T=ma$

$4\times 10-T=4a\left(i\right)$

$T-f=8a.$

$T-\mu N=8a.$

$T-0.5\times 8\times 10=8a$

$T-40=8a\left(ii\right)$

$a=0\text{system is not moving.}$

$Soa=0,$

$T=39.20N$