amplitude ratio M, and resonant frequency w, for any arbitrary value of c. Generate a plot for w, vs. c, and another plot for Mr vs. c, and explain how changing the damping in the system affects these parameters. Make your plots for 0 ≤ c≤ 30 N.s/m. m 72 www

Pressing a key on the piano you hear 440 Hz.The amplitude decays to 1/10 within 6 s.What would the frequency be like if thedamping was 1/10 within 30 s? Please explain why you used the equation you will be using

1) For the mass-damper system at right, the model in terms of velocity is mv + cv = f. The time constant of this first order system is t = m/c. For this system, a larger value of the damping constant c causes the time constant to decrease - which is counterintuitive. It seems that a small amount of damping should correspond to a system with a fast response. How can you reconcile this? m CA

The response of a system 1s given by x(t) = 0.003 Cos Böt +0.0045in 30t m. Defermine the amplitude Og motion, the frequency in Hz, the frequency in rad/s, the frequency n rpm, the phase angle and the responce in the form of x(t)= Asn(wk tp) og mction, the period

Consider a second order system given by 9 d²x(t)/dt² + 1 dx(t)/dt + 24 x(t) = t. What is the damped natural frequency in rad/s? Do not include units. Write your answer in scientific notation using 3 significant figures.

QUESTION 4 Consider a 2 DOF system shown below. k₁ k₂ non m2 F₁ F kz Find the second natural frequency (in rad/s) for the system shown below. Use scientific notation with 3 significant digits. Omit units. (eg. 2.03e0) Let m1 = 3, m2 = 3, k1 = 4, k2 = 6, and k3 = 8.

If a mass of 6 kg oscillates on a spring having a mass 3 kg and stiffness 11200 N/m, then the natural frequency of the system in rad/sec will be

3. b W 2000N/m 100 kg x (t) Figure 2 By referring to Figure 2, compute the value of the damping coefficient, b of this system if the frequency of damping system is 4.46 Hz.

A damping machine with vibratory system is to be designed with following parameters  . K= 100N/m, C=2 N-sec/m, M=1kg  Find (i) Decrease of amplitude from its starting value after complete oscillations (ii) The frequency of oscillation

A single degree of freedom mass-spring-damper system is subject to vibration under the influence of a harmonic force. On my site, it is given as m=2 kg, k=800 N/m, c=64 Ns/m. The amplitude of the harmonic force is F0=256 N and its frequency is w= 20 rad/s. Answer the questions in options a, b, and c according to the given information. 1) Calculate the damping ratio of the system (ξ) a.1   b.0.7   c.0.9     d.0.8 2)Calculate the magnification factor (M) of the system.  a.0.86    b.1.25     c.0.312     D.0.625 3-) Calculate the maximum vibration amplitude (X) (meters).  a.0.2     b.0.1     c.0.4     D.0.3