Show all work. Also draw a diagram if you can. Thank you.

A metal ball (m : 1.9 kg) hangs by a light string from the ceiling of a wooden crate (ll/f : 5.2 kg). The crate is then pushed with a_ constant horizontal force F along some frictionless ice. This causes the ball hang inside the crate at an angle of 19 : 40 with respect to the vertical. What is the value of F ?(Hint: if the ceiling of the crate is pulling on the ball, then the ball is pulling- back on the ceiling of the crate.) For the limit check, investigate What happens to F as the angle 6 drops to zero. _