A carton of mass 35kg is at rest on a rough plane inclined at an angle of 40 degrees to the horizontal.

Calculate the magnitude of the friction force in newtons.

1 answer

M*g = 35 * 9.8 = 343 N. = wt. of carton.

Fp = 343*sin40 = 220.5 N. = Force parallel to the incline.

Fn = 343*cos40 = 262.8 N. = Normal force.

Fp-Fs = M*a.
220.5 - Fs = 35*0, Fs = 220.5 N. = Force of static friction.