The following figure shows a uniform steel beam pivoted at its mid-point C. A body having a mass of 9 kg is suspended at the point E that is 80 mm to the right of C. Calculate the mass M suspended at the point D that is 180 mm to (4 marks) the left of C to maintain the beam in balance. D M 180 mm C 48 80 mm E 9kg (6 marks) Find the reaction R and R to provide a condition of equilibrium for the beam shown below. The weight of the beam may be ignored. F R -4m-7m- 8N + 2m SN R A block of mass 80 kg is placed at the middle of a 4-m long uniform beam of mass 10 kg. The beam is supported at both ends by string which will break under a tension of 680 N as shown in the below figure. How far from the centre of the beam can the block go before one of the strings breaks? (15 marks) string 2m 80kg 100 N 2m Astring