A thick-walled steel cylinder with length L = 500 mm, inner radius a = 25 mm and outer radius b = 250 mm is shrunk onto a steel shaft with radius a +6, where d is the interference fit (fig. 4). The properties of steel are: E = 210 GPa, v=0.3, p=7.8 Mg/m. (a) The cylinder and shaft are subjected to rotation. Find the smallest required interference fit &, if cylinder and shaft must stay in contact up to an angular velocity of 1500 rpm. (b) Given that the coefficient of static friction between the cylinder and the shaft is = 0.2 and 6 = 1.5 mm, at zero angular velocity, determine the maximum torque that can be applied to the shaft such that no slipping occurs between the shaft and the cylinder. Figure 4