A horizontal wire holds a solid uniform ball of mass m in place on a tilted ramp that rises 35.0° above the horizontal. The surface of this ramp is perfectly smooth, and the wire is directed away from the center of the ball.(a) How hard does the surface of the ramp push
on the ball? (b) What is the tension in the wire?
The Attempt at a Solution
I drew a picture and made a triangle with the normal force as one side, the ramp as one side, and the weight as the hypotenuse. I believe the angle between the ramp and the hypotenuse is 55 degrees. That would mean sin(55) = N/mg and that N = mg*sin(55). This is equivalent to approximately 0.82mg. However, the answer I have for this problem is 1.22mg and 1/sin(55) equals 1.22. I am trying to figure out what I am doing wrong here. Any help would be appreciated!