The braking (pedal) system shown in the picture is idealized as shown in the figure downward (all A, B, and Care pins). If the operator applies a vertical force (F-120 N) to the pedal such that the spring (k-300 N/m) is stretched 12 cm, and given that L 40 cm, h-5 cm, m-3 cm. Determine the following: 1) (3.5 pts) the reactions (with directions) at the pins A and B. 2) (1.5 pts) the average shear stress in pin A given it is in double shear and its diameter is 5 mm. 3) (2.5 pts) Assuming the pedal to be rigid, while rod BC is made of 6061-T6 Aluminum alloy, determine the new diameter of rod BC. For simplicity, assume rod BC cylindrical in shape of length 60 cm and diameter of 2 cm. Pin F C m