Answer:
Find the diagram in attachment
Explanation:
In this problem we have a block at rest on the incline. There are only three forces acting on the block:
- The weight of the block, labelled as (mg), acting downward (where m = mass of the block and g = acceleration of gravity)
- The normal reaction exerted by the incline on the block, R, directed perpendicular to the plane
- The frictional force, [tex]F_f[/tex], acting up along the plane
It is possible to resolve the forces along the two directions - parallel and perpendicular to the plane. We find the following equations of motion:
- Parallel direction: [tex]mg sin \theta - F_f = 0[/tex]
- Perpendicular direction: [tex]R - mg cos \theta = 0[/tex]
where [tex]\theta[/tex] is the angle of the inclined plane.