Figure 2 shows an elevated and asymmetrical seesaw, formed by a uniform beam (mass 54 kg, length 6 m). The pivot of the seesaw is at point A, 2 m from the left edge of the beam (labelled D). A 25 kg child positions herself at point B, 3 m to the right of the pivot. Her carer, whose mass is 75 kg, positions himself at point C a distance d (to be determined) from the pivot, as shown below.

Figure 2 shows an elevated and asymmetrical seesaw, formed by a uniform beam (mass 54 kg, length 6 m). The pivot of the seesaw is at point A, 2 m from the left edge of the beam (labelled D). A 25 kg child positions herself at point B, 3 m to the right of the pivot. Her carer, whose mass is 75 kg, positions himself at point C a distance d (to be determined) from the pivot, as shown below. D B Figure 2 The seesaw (not drawn to scale) Show description v a. Draw a free body diagram showing all the forces acting on the beam and the distances from point A (the pivot) at which each force acts. (4 marks) b. State, in words, two conditions that must be satisfied for the beam to be horizontal in equilibrium. (2 marks) c. For each of the two conditions you have identified in Part (b), using the information contained in your diagram, write an equation that must be satisfied for the beam to remain horizontal. Do not include units in your equations (4 marks) d. Using your answer to Part (c), calculate the distance d which allows the beam to be horizontal. (3 marks) e. Instead of sitting on the seesaw, the carer pulls down on a rope fixed at the left end of the beam (point D). What is the tension needed to maintain the beam in equilibrium? (4 marks) f. If the rope has a diameter of 32 mm, calculate the stress in the rope. (3 marks) Give your answers to Parts (d) to (f) to two significant figures and take the acceleration due to gravity, g, to be 9.8 m s2