FM23 P22 Q3 Beam Torque & Equilibrium | Feb/March 2023 | Cambridge A Level 9702 Physics

9702/22/F/M/23: A uniform beam AB is attached by a hinge to a wall at end A, as shown in Fig. 3.1. The beam has length 0.50m and weight W. A block of weight 12N rests on the beam at a distance of 0.15m from end B.
The beam is held horizontal and in equilibrium by a string attached between end B and a fixed point C. The string has a tension of 17N and is at an angle of 50° to the horizontal.

(a) State two conditions for an object to be in equilibrium.
(b) Show that the vertical component of the tension in the string is 13N.
(c) By taking moments about end A, calculate the weight W of the beam.
(d) Calculate the magnitude of the vertical component of the force exerted on the beam by the hinge.
(e) The block is now moved closer to end A of the beam. Assume that the beam remains horizontal. State whether this change will increase, decrease or have no effect on the horizontal component of the force exerted on the beam by the hinge.
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