A small body is placed on the top of a smooth sphere of radius R. Then the sphere is imparted a constant acceleration a = ng in the horizontal direction and the body begins to slide down the sphere. Find: (a) the velocity of the body relative to the sphere at the moment of break-off (b) the angle θ0
between the vertical and the radius vector drawn from the centre of the sphere to the break-off point. Calculate θ0 for n = 1, that is for a =g.