uestion - YOur objective is to design a vibration absorber (k2,m2) for the following stem. The allowable clearance for the absorber motion is 0.01 m, and the force to be ppressed has a sinusoidal shape, with amplitude of 20 N and frequency of 10 rad/s. Part A -Assuming you can choose any value for k2 and m2, what would those valu be? art B - Now suppose that you only have 5 options of springs to choose from, with the llowing values for k2: 1300 Nm, 1500 Nm, 1700 Nm, 1900 Nm, 2100 Nm. Choose on lue that would let the system meet or be under the allowable clearance and calculate th 2 value for that system. F(4) mi M,

Help with question D

Can you please show the complete solution of the image below. Thanks! Subject: Mechanical Vibration

Hello Sir.Good Night I have a question related Machine Vibration Lesson. The following below is my question.Please advise, Thank you so much.

please find the soultion and explain will upvote if correct

Parts A and B please. Thanks

A pressure transducer that behaves as a second-order system is supposed to have a damping ratio of 0.7, but some of the damping fluid has leaked out, leaving an unknown damping ratio. When the transducer is subjected to a harmonic input of 1850 Hz, the phase angle between the input and the output is 45°. The manufacturer states that the natural frequency of the transducer is 18 500 rad/s. (a) What is the dynamic error in the transducer output for a harmonic pressure signal of 1200 Hz? (b) If the transducer indicates a pressure amplitude of 50 psi, what is the true amplitude of the pressure?

5. A load of 5000 N resulted in a static displacement of 0.05 m in a composite structure. A harmonic force of amplitude 1000 N is found to cause a resonant amplitude of 0.1 m. Find (a) the hysteresis-damping constant of the structure, (b) the energy dissipated per cycle at resonance, (c) the steady-state amplitude at one-quarter of the resonant frequency, and (d) the steady-state amplitude at thrice the resonant frequency. A. B = 0.1, AW = 314.16- cycle ,X = 0.010161 m, X = 0.00125 m B. B = 1.1, AW = 314.16- cycle ,X = 0.010161 m, X = 0.00125 m C. B = 0.1, AW = 414.16. cycle ,X = 0.110161 m, X = 0.00225 m D. B = 1.1, AW = 414.16- сycle -,X = 0.110161 m, X = 0.00225 m

The landing gear of a commercial aircraft is modeled as mass-spring-damper system as shown in figure below. Your role is to define the main characteristics of such motion when the aircraft lands on rough runway that causes an oscillator motion as shown in the Figure.8. Your manger asked you to write a report showing your analysis for the system to avoid any excepted damages to the landing gear. Damper | x(1) Suspension System Oscillation Spring Street and Bumps Oscillations Elastic Tire Figure.8: Car's Suspension mass-spring-damper system A. For any mass-spring system, explain the natural frequency of vibration. B. To identify the system main parameters, the following mass-spring-damper model is identified: x(t) = 0.1179e-25.2t sin (50t + 0.32247) Determine the amplitude and phase angle of the transient response within the system? C. What is the frequency of the runway vibration required to cause resonance? Briefly, explain why it happens. D. Briefly, suggest how to prevent resonance…

4. Your client has been advised that one of the operating systems within their facility is subject to excessive vibration and that it is operating close to its resonant frequency. The client has asked your company to carry out some tests/analysis on the system and, also, to provide more general information about the behaviour of oscillating systems. The system itself can be modelled as a relatively simple mass-spring-damper system, which will be analysed without any external influences. Analysis of the free vibration of the system is carried out by disturbing it from the equilibrium position and releasing it from rest at x0 = 150 mm, when t = 0. As a baseline, it is thought best to establish the undamped operating conditions before considering the effects of any damping. Once the undamped response is determined, the damper is connected and the analysis carried out on the damped system. As before, the system is disturbed from the equilibrium position and released from rest at x0 = 150…