subject: vibration urgent!please answer all questions with full calculation thank u! p=0, q=4, r=3
Posted: Fri Apr 29, 2022 10:06 am
subject: vibration
urgent!please answer all questions with full calculation thank u!
p=0, q=4, r=3
A mass-spring system is shown in Figure Q2 with m = 10 kg, m2 = 20 kg, ki = (10+P) N/m, k2 = (10+Q) N/m and kz = (20+R) N/m. (a) Draw a free body diagram for the system by assuming that the system is made to vibrate freely in vertical direction. (4 marks) (b) Examine that the equation of motion for the system as: m, 017 (k, +k) -kz Vril 0732 Stl-ke (ky + kg)](x2) -k2 )X2 23- (6 marks) (c) Determine the natural frequencies of the system. (7 marks) (d) Evaluate the mode shapes of the system complete with the mode shape diagram. (8 marks) Note Q2: The values of P, Q and R depend on the respective 4th, 5th, and 6th digits of your matric number as in the following number format: AD xxxPQR. For example, if your matric number is AD 170154 gives the value P= 1, Q = 5 and R = 4, thus the spring stiffness, ki = 11 N/m, k2 = 15 N/m, and k3 = 24 N/m respectively. ---
www m my com) k2 (ա T 19000 Figure Q2
urgent!please answer all questions with full calculation thank u!
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A mass-spring system is shown in Figure Q2 with m = 10 kg, m2 = 20 kg, ki = (10+P) N/m, k2 = (10+Q) N/m and kz = (20+R) N/m. (a) Draw a free body diagram for the system by assuming that the system is made to vibrate freely in vertical direction. (4 marks) (b) Examine that the equation of motion for the system as: m, 017 (k, +k) -kz Vril 0732 Stl-ke (ky + kg)](x2) -k2 )X2 23- (6 marks) (c) Determine the natural frequencies of the system. (7 marks) (d) Evaluate the mode shapes of the system complete with the mode shape diagram. (8 marks) Note Q2: The values of P, Q and R depend on the respective 4th, 5th, and 6th digits of your matric number as in the following number format: AD xxxPQR. For example, if your matric number is AD 170154 gives the value P= 1, Q = 5 and R = 4, thus the spring stiffness, ki = 11 N/m, k2 = 15 N/m, and k3 = 24 N/m respectively. ---
www m my com) k2 (ա T 19000 Figure Q2