PROBLEM6: In a forced vibration test under harmonic excitation it was noted that the amplitude of motion at res- onance was exactly four times the amplitude at an excitation frequency 20% higher than the resonant frequency. Determine the damping ratio of the system. Good luck

Q3. An aluminium-alloy cylinder of internal diameter 10.000cm and wall thickness 0.50cm is shrunk onto a steel cylinder of external diameter 10.004cm and wall Thickness 0.50cm. If the values of Young's modulus for the alloy and the steel are 70 GN/m² and 200 GN/m", respectively, estimate the circumferential stresses in the cylinders and the radial pressure between the cylinders. SPARK4

(b) A cooling tube having the cross section shown in Fig. Q1(b) is formed from a sheet of stainless steel of 3 mm thickness. The radii c₁ = 150 mm and c₂ = 100 mm are measured to the center line of the sheet metal. Knowing that a torque of magnitude T = 3 kNm is applied to the tube, determine (i) the maximum shearing stress in the tube (ii) the magnitude of the torque carried by the outer circular shell Neglect the dimension of the small opening where the outer and inner shells are connected. Hint: q - T 2A q=rt, T = Fr. Fig. Q1(b)