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k X1 k m2 X2 k m3 X3 Figure Q2(b) www

k X1 k m2 X2 k m3 X3 Figure Q2(b) www

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X1 k m2 X2 k m3 X3 Figure Q2(b) www www
Transcribed Image Text:X1 k m2 X2 k m3 X3 Figure Q2(b) www www
(b) Figure Q2(b) shows three degree of freedom of a spring-mass system. (i) Determine the equation of motion of the spring-mass system using Newton Second Law. Please note that the equation of motion should be derived from the free body diagram. (ii) Analyze the fundamental natural frequency of vibration of system by using Rayleigh's Method. Assume that mi = 2 kg, m2 = 3 kg, m3 = 1 kg, and k = 20 N/m. Use the mode of the system as follow; 1.2 = {X2} = { 2.3 (x3. 3.9
Transcribed Image Text:(b) Figure Q2(b) shows three degree of freedom of a spring-mass system. (i) Determine the equation of motion of the spring-mass system using Newton Second Law. Please note that the equation of motion should be derived from the free body diagram. (ii) Analyze the fundamental natural frequency of vibration of system by using Rayleigh's Method. Assume that mi = 2 kg, m2 = 3 kg, m3 = 1 kg, and k = 20 N/m. Use the mode of the system as follow; 1.2 = {X2} = { 2.3 (x3. 3.9
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