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Forces on an Incline

Part of the Mechanics section of Coddy's Physics journey. Lesson 17 of 94.

On a ramp an object feels three forces: its weight mg straight down, the normal force N perpendicular to the ramp, and friction f along the surface, against the sliding.

A box resting on a 30 degree ramp: its weight mg points straight down, the normal force N points perpendicular to the ramp, and friction f points up along the slope

Three forces on a box resting on a ramp: mg straight down, N perpendicular to the surface, f along it.

Choose the x axis along the slope and the y axis perpendicular to it. Only the weight is slanted, and nothing moves into the slope:

ΣF along = ma, ΣF perpendicular = 0

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Challenge

A 4 kg box slides down a 30° ramp, and kinetic friction holds it back with 5 N. Find the acceleration a of the box.

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