Answer to Question #136453 in Physics for Ranx

Question

An object with a mass of 20 kg is resting above the inclined plane with an angle of 48 degrees above horizontal. What is the normal force?

Answer 1

Let us draw all the forces acting on the object. From the picture, writing the projections of forces along the axis, perpendicular to the surface, obtain: $N - m g \cos \theta = 0$, hence normal force is:

$N = m g \cos \theta = 20 kg \cdot 9.81 \frac{m}{s^2} \cos 48^{\circ} \approx 131.3 N$.