A uniform beam of length L = 2.4 m and mass mB = 14.4 kg has its lower end fixed to pivot at point P on the floor, making an angle θ = 51∘ as shown in the diagram. A horizontal cable is attached at its upper end B to a point A on a wall. A weight of mass mL= 33 kg is suspended from a rope that is attached to the beam at a distance of one-fourth its length from the upper end B.

a) Calculate the magnitude of tension in the cable, in N.
b) Calculate the total magnitude of force at the pivot point, in N.
c) Calculate the angle ϕ of the force at the pivot point above the horizontal, in ∘.