A garden roller is kept at rest on a slope that makes an angle of 30 degrees the horizontal by an upward force of 2 500N parallel to the slope.

1. Calculate the mass of the roller?
2. Determine the magnitude of the force exerted by the surface on the roller?

1 answer

1. M*g = Wt. of roller.

Fp = Mg*sin 30 = 2500
Mg = 2500/sin 30 = 5000 N.
M = 5000/g = 5000/9.8 = 510.2 kg

2. Fn = Mg*Cos 30 = 5000*Cos 30 = 4330 N
= Normal force = Force exerted by the
surface.