For k = 2 N/m, m = 20 g, and c = 0.03 N-s/m, calculate and plot the magnitude (in m/N) and phase (in degrees) of the frequency response function from the excitation f(t) to the response x(t). Show your plots over a frequency range of 0 Hz to 3 Hz, which should include the resonance peak (be sure to check units).
F(N) 2. A 15 kg oscillator with a stiffness of k = 960 N/m and damping coefficient c = 60 Ns/m is driven by a square- wave excitation F(t) shown in the figure. Determine and plot the steady state response for 12 s using 100 terms in the Fourier series solution. 100 -100
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 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...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
mi k2 b yi m2 Figure 5-45 Mechanical system. Assuming that mi 10 kg, m2 5 kg, b 10 N-s/m, k 40 N/m, and k 20 N/m and that input force u is a constant force of 5 N, obtain the response of the sys- tem. Plot the response curves n(t) versus r and y2(t) versus t with MATLAB Problem B-5-23 Consider the system shown in Figure 5-45. The system is at rest for t < 0. The dis placements...
Im looking for help on number 2! Thanks 1.0 Use X 2L/m and fo v/Am m (2) to solve these problems. For strings, the relationship fm 2V is also true. mn 2L 0.5! (w) 0.0 WWW -0.51 1. What is (a) the wavelength and (2) the mode of the standing wave in the figure of a vibrating string below? -1.01 -1.5 2 3 4 5 < (m) (w) 3. A string has a linear density of u 2.0 x 10-3...
Part A has been found to be 0.615 m/s^2. Parts B and C have been found NOT to be 598 N and 736 N respectively. If you get these answers, please try again. Thank you! Determine the acceleration of the cart. Neglect the mass of the wheels Express your answer to three significant figures and include the appropriate units The cart and its load have a total mass of 130 kg (Figure 1) a-Value Units Figure Submit Request Answer 1...
please show all work. need help with question c,d,e Name Problem 3 A standing wave is setup c 1 a string at the third harmonic (n-3), as seen in the figure. The length of the s ring is 0.350 m, the tension in the string is 2.44 N and the mass per unit lengtl is 0.100 kg/m. (5 Points)/ a) What is the wavelength a ad frequency fof the standing wave? 5 points)b) If the amplitude of the v ave...