- Q2 A Mass Spring System Is Shown In Figure Q2 With Mi 10 Kg M2 20 Kg Ki 10 P N M K2 10 Q N M And K3 20 1 (66.02 KiB) Viewed 17 times
p= 2
q=0
1=1
pls ans fast
Q2 A mass-spring system is shown in Figure Q2 with mi = 10 kg, m2 = 20 kg, ki = (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: m 0 [(k+k) - k .X2 0 ከ15 በx - K₂ (ką +k;)] x2 k₂ 0.133-14 + = (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 the spring stiffness, ki = 11 N/m, k2 = 15 N/m, and k3 = 24 N/m = = = =
77 www ki mi T 00000 k2 m2 I .x200 M ww www Figure Q2