A Classical Quickie

An object of weight 2021 2021 N N is at rest, on a rough inclined plane with the angle of inclination θ = 3 0 \theta = 30^\circ . The inclined plane is at rest in the earth’s inertial frame. Calculate the magnitude of the force, the plane exerts on the block.


The answer is 2021.

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1 solution

Steven Chase
Feb 9, 2021

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 \vec{F}_{gravity} + \vec{F}_{plane} = 0 \\ \implies |\vec{F}_{gravity} | = |\vec{F}_{plane}|

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