A ball has a mass 3.2 kg and rests in the corner between 2 sloping surfaces. The surfaces make angles of 63º and 38º with the horizontal. The only forces acting on the ball are its weight and the reactions from the 2 surfaces. Take the magnitude of the acceleration due to gravity to be g = 10ms−2.

(a)Draw a force diagram for the forces acting on the ball giving the sizes of the angles
between the forces and defining any symbols that you use to denote the forces.

(b)Draw a corresponding triangle of forces indicating the sizes of the angles.

(c)Use the triangle of forces to find the magnitudes of the normal reactions from the 2 surfaces in Newtons to 3 sig figs.