Pls ASAP written clearly! 4 FLt) 4?The system (M-2 kg, and K-800 N/m) shown is subjected...
plz ASAP! written clearly! thank you so much ! 2 Forthe system shown K=576lbia, M=4 hsin. a. The equation of motion and the response Flt) asfinction oftime when C=192 sin, and is subjected to barmonic force F(t) Cos (10 b. Rescrance freguency. Stow your work
Plz ASAP written clearly. 1. The system shown is is subjected to the base-excitation Determine a) the equation of motion b) the response of the system C. c) displacement transmissibility Take K 600 Tb/in, M-6 Ib.s/in, C 3 Ib.sVin [Show all your work
2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency when Fa)-2sin10 c) Calculate the response of the system for F)-2sin10/, xo-0,-10 m/s. d) Calculate the response of the system for F)-108t), xo-0, -10 m/s. c) Calculate the response of the system for F(i)-2sin10+108(-2), x0-0, ao-10 m/s. nt Ft) Figure 1. Mass-spring system
Problem 2 (25 points): Consider an undamped single-degree-of-freedom system with k = 10 N/m, 41 = 10 N 92 = 8N, and m = 10 kg subjected to the harmonic force f(t) = qı sin(vt) + 92 cos(vt), v = 1 rad/ sec. Assume zero initial conditions (0) = 0 and c(0) = 0. Derive and plot the analytical solution of the displacement of the system. mm m = f(t) WWWWWWWW No friction Problem 2 Problem 3 (30 points): Using...
MEMB343 MECHANICAL VIBRATIONS ASSIGNMENT l. For the system shown in Figure 1, where mi=5 kg, m,-10 kg, ki=1000 N/m, k2-500 N/m, k, 2000 N/m, fi-100sin(15t) N and f-0, use modal analysis to determine the amplitudes of masses m, and m2. The equations of motion are given as sin(15t), wth natura frequencies 5 01[i, 0 10 500-500x, 500 2500jx, x,[100 ω,-14.14 rad's and a, = 18.71 rad/s, and mode shapes, Φ',, and Φ' k, Im Figure 1 MEMB343 MECHANICAL VIBRATIONS ASSIGNMENT...
2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency when Fa)-2sin10 c) Calculate the response of the system for F)-2sin10/, xo-0,-10 m/s. d) Calculate the response of the system for F)-108t), xo-0, -10 m/s. c) Calculate the response of the system for F(i)-2sin10+108(-2), x0-0, ao-10 m/s. nt Ft) Figure 1. Mass-spring system 2. (30...
Question 4 Xi →ろ sin at it m2, PM Consider the system shown in figure where m is subjected to F Sin(w t). Calculate the system response when m1 m2 and Kt k2- k Question 4 Xi →ろ sin at it m2, PM Consider the system shown in figure where m is subjected to F Sin(w t). Calculate the system response when m1 m2 and Kt k2- k
A spring-mass system with m = 8 kg and k = 4000 N/m subjected to a harmonic force of amplitude 200 N and frequency (). When the mass of the system is increased by 20% from its original value, the amplitude of the forced motion of the new mass is observed to be 25% off the original one. Determine the frequency of the harmonic force and the amplitude of original system
A spring-mass system with m-10 kg and k-5000 N/m is subjected to a harmonic force having an amplitude of 250 N and frequency of ow. If the maximum amplitude of the mass is observed to be 100 mm, find the value of o. (Points 4/10)
F Fosin t m k 2 Figure Qla: System is subjected to a periodic force excitation (a) Derive the equation of motion of the system (state the concepts you use) (b) Write the characteristic equation of the system [4 marks 12 marks (c) What is the category of differential equations does the characteristic equation [2 marks fall into? (d) Prove that the steady state amplitude of vibration of the system is Xk Fo 25 + 0 marks (e) Prove that...