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## Homework Statement

Consider a ramp at an angle of 30° to the horizontal with a mass

*m*sitting on it without sliding:

What is the force exerted by the ramp on the mass? Then resolve this force into vertical and horizontal components.

## Homework Equations

Net forces equating to zero.

## The Attempt at a Solution

The normal force is the force exerted by the ramp on the mass sitting on the ramp.

i.e. F = mg*cos(30) = mg*sqrt(3)/2

Then resolving this force into horizontal and vertical components:

F(vert) = (mg*sqrt(3)/2)*sqrt(3)/2 = (3mg)/4

F(hor) = (mg*sqrt(3)/2)*sin(30) = mg*sqrt(3)/4

I believe this to be correct, however the answer given, states that the force exerted by the ramp in mg, and thus the vertical component of this force is mg and horizontal component of this force is 0.

But which is correct?