yet another friction question

[monkeywantsabanana]

Hey guys, again... can you help me with this:

An object of mass 24 kg is on the point of sliding down a rough inclined plane when pulled with a force of 10 kg wt by a top parallel to the plane. If the size of the pulling force is increase to 12 kg wt, the object is on the point of sliding up the plane. Find:

The angle of inclination of the plane to the horizontal, correct to the nearest minute

I wonder if this would be right:

10+F=24sinx
24sinx+F=12

Solve simultaneous and x = 27 degrees 17 minutes

Someone verify please? :-S

[dc302]

According to my calculations, you would be correct.