A horizontal beam is attached to a vertical wall by a frictionless hinge and supported from below at an angle = 45o by a brace that is attached to a pin. The beam has a weight of 347 Newton. Three additional forces keep the beam in equilibrium. The brace applies a force P to the right end of the beam that is directed upward at the angle with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component H and a vertical component V. Evaluate the magnitude of these three forces.