Question

A block is at rest on the incline shown in the figure. The coefficients of static and kinetic friction are mu_s=0.51 and mu_k=0.43. respectively. The acceleration of gravity is 9.8 m/s^2. What is the frictional force acting on the 22 kg mass? Answer units of N. 005 (part 2 of 2) 10.0 points What, is the largest angle which the incline can have so that the mass does not slide down the incline?

Answer 1

(a)friction acting = f = mgsin23⁰

f = 84.24N

(b)maximum friction force acting = $\mu$_smgcos$\theta$ = mgsin$\theta$

tan$\theta$ =$\mu$_s =0.51

$\theta$ = 27.02⁰