1) A 4.0 m long uniform wooden beam of weight 120 N is supported at a distance of 1.0 m from the left end, and 0.25 m from the right end, by resting on top of 2 posts. A worker climbs on the middle of the beam, intending to walk to each end of the beam to work. If the worker has a mass of 82 kg, what are the forces exerted by the left side and right side support posts when: a) the worker is 0.10 m from the extreme right end of the beam (6 marks) 1.0nx 4.00 m 0.25m b) the worker is 0.90 m from the extreme left end of the beam (6 marks) c) realising that the beam is getting unstable as they get closer to the left end, the worker stops to calculate how far left of the left support post they would be when their mass balances the mass of the beam on the other side. What is this distance? (4 marks) d) What happens to the force at the right support post if they exceed that distance? What could they do to avoid tipping the beam? (2 mark)