A vibration isolation unit consists of two blocks of hard rubber bonded to plate AB and to rigid supports as shown. For the type and grade of rubber used, the allowable shear stress is 5.5% *SN (MPa) and the shear modulus is 45 % *SN (MPa). Knowing that a centric vertical force of magnitude P=0.53*SN (kN) must cause a 0.095*SN (mm) vertical deflection of the plate AB. (a) Determine the smallest allowable dimensions a and b of the block. (b) Calculate the rubber's modulus of elasticity (state all necessary assumptions). (c) What will happen if the internal shear stress exceeds the allowable value? How to avoid such a problem? (explain your answer in detail). (30 Marks) Plate Figure 3 Rubber 75 mm Rigid support