Q2 A mass-spring system is shown in Figure Q2 with mi = 10 kg, m2 = 20 kg, kı = (10+P) N/m, k2 = (10+Q) N/m and k3 = (20+R) N/m. (a) If the system is made to vibrate freely in vertical direction, draw a free body diagram for the system. (b) Proof that the equation of motion for the system as: - k, T (k, +k,)]|x2, D-8 m, + 0 m2 -k, (c) Determine the natural frequencies of the system. (d) Evaluate and illustrate the mode shapes of the system. Note Q2: The values of P, Q and R depend on the respective 4th, 5th, and 6th digit of your matric number as 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 %3D the spring stiffness, ki = 11 N/m, k2 = 15 N/m, and k3 = 24 N/m

Q2 A mass-spring system is shown in Figure Q2 with mi = 10 kg, m2 = 20 kg, kı = (10+P) N/m, k2 = (10+Q) N/m and k3 = (20+R) N/m. (a) If the system is made to vibrate freely in vertical direction, draw a free body diagram for the system. (b) Proof that the equation of motion for the system as: - k, T (k, +k,)]|x2, D-8 m, + 0 m2 -k, (c) Determine the natural frequencies of the system. (d) Evaluate and illustrate the mode shapes of the system. Note Q2: The values of P, Q and R depend on the respective 4th, 5th, and 6th digit of your matric number as 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 %3D the spring stiffness, ki = 11 N/m, k2 = 15 N/m, and k3 = 24 N/m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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