A particle sits at rest on a rough inclined plane. The angle of inclination of the plane is 9 I} i]. Gravity,r points vertically down with strength...

How would one solve the following question and what would the sketch look like ?

Q: A particle sits at rest on a rough inclined plane. The angleof inclination of the plane is 9 I} i]. Gravity,r points vertically downwith strength 3. The normal reaction R. is perpendicular to the plane,friction F acts up the plane. The coefficient of static friction is pi. a) Sketch the situation and label all the forces. b) Introduce a basis consisting of two unit vectors to help describethe forces in this problem. Label the basis 1Erectors in your sketch. c) Write down expressions for R and F in components. Calculate R,the normal reacticm. Calculate F, the friction. d) 1What is the maximum angle of inclination such that the particlecan remain at rest?