An object of weight is at rest, on a rough inclined plane with the angle of inclination . The inclined plane is at rest in the earth’s inertial frame. Calculate the magnitude of the force, the plane exerts on the block.
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There are two forces on the block: the gravity force and the plane force. In stasis, they must sum to zero.
F g r a v i t y + F p l a n e = 0 ⟹ ∣ F g r a v i t y ∣ = ∣ F p l a n e ∣