Question

A force of 98 N is just able to move a block of mass 20kg on a rough horizontal surface. Calculate the coefficient of friction and angle of friction. g= 9.8m/s${}^{-2}$

Answer 1

Static limiting frictional force$f_{SL}$=$\mu mg$

Cofficient of static friction:-

$\mu$=$\frac{f_{SL}}{mg}$=$\frac{f}{mg}$=$\frac{98}{20\times 9.8}$

Hence=$0.5$

let $\theta$ be the e angle of friction than

$tan\theta$=$0.5$

$\theta$=$28.6$