Draw a fbd for a block at rest on a incline

draw a fbd for a block at rest with a incline

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, , 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:

- Perpendicular direction:

where is the angle of the inclined plane.

a straight line sloped

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