Determine the support reaction if the body is at rest on an inclined plane with an angle

Determine the support reaction if the body is at rest on an inclined plane with an angle of inclination to the horizon of 300. Body weight is 150 grams.

m = 150 g = 0.15 kg.

g = 10 m / s2.

∠α = 30 °.

N -?

The reaction force of the support N is the force with which the support presses on the body. The support reaction force N is always directed perpendicular to the support surface.

Since the body is at rest on an inclined plane, the support reaction force N is compensated by the projection of the gravity force onto the axis directed along the support reaction force.

N = m * g * cosα, where m * g is the force of gravity that acts on the body.

N = 0.15 kg * 10 m / s2 * cos30 ° = 0.866 = 1.3 N.

Answer: the reaction force of the support is N = 1.3 N.