determine how much resonance frequency is different from the natural oscillation frequency (1kHz) when the damping factor is 400/s
determine how much resonance frequency is different from the natural oscillation frequency (1kHz) when the damping...
1. Oscillating system performs damped oscillations with frequency 1000 Hz. Determine the frequency of natural oscillations if the resonance frequency is 998 Hz. 2. Amplitude of vibrations during 5 minutes decreased by 2 times, during which time the amplitude reduced by 8 times? 3. For 8 minutes amplitude decreased 8 times. Find damping factor. 4. Determine how much resonance frequency is different from the natural oscillation frequency (1kHz) when the damping factor is 400 s decreased 20 times 6. The...
1. Using Equations 4 and 5 determine the required natural frequency (wn) and damping ratio (7) that will satisfy the overshoot and rise time requirements of the controller. a. What does the natural frequency of the system quantify? i. It is the frequency at which the system tends of oscillate when continuously subjected to an external harmonic force ii. It quantifies the frequency at which the system tends to oscillate in the absence of any driving force ili. None of...
4. Resonance occurs: a. when the frequency of a vibrating force exactly matches a natural frequency of the object to which the force is applied. b. when the energy of the system is zero. c. If the force moving the spring is enough to slow down the object. d. When the current in an RC circuit goes to zero
Question 1 A vibratory system in a vehicle is to be designed with the following parameters: k= 177 N/m, C =2 N-s/m, m=23 kg. Calculate the natural frequency of damped vibration. Quèstion 2 The damping ratio for a critical damped system is: 1.0 0.5 0 1.05 Question 3 A vibratory system is defined by the following parameters: m=2 kg, k = 100N/m, C =4 N-s/m. Determine the damping factor (ε) Question 5 When parts of a vibrating system slide on a dry surface, the damping is: Viscous Coulomb Hyntoretio None of above
Ex: Determine the frequency response of a pressure transducer that has a damping ratio of 0.5 and a ringing frequency of 1200 Hz. The frequency response of a measurement system is determined by M(o) and φ(a) as defined in Equations(30) and (31). Since ω.-conv 1-7 , the natural frequency of the pressure transducer is found to be on-8706 rad/s. The frequency response at selected frequencies is computed from Equations 30 and 31 as follows [1-(w/m)212+/240/m)2 M(o) 1.00 1.04 1.07 1.15...
When you design a building in an earthquake region, how should the natural frequencies of oscillation of the building compare to the typical earthquake frequencies and why? Explain in 100 words or less.
Determine the natural vibration period and damping ratio of the aluminum frame model from the acceleration record of its free vibration shown in the figure bellow. Acceleration, g 0 1 2 3 5 6 7 8 4 Time, sec
Solve parts a, b, c, and d 2. Design a differentiator circuit with an input signal that varies in frequency from 100Hz to 1KHz. Follow the differentiator guideline procedure. Select the capacitor value to be 0.1uf. Use the differentiator schematic shown on the next page. a. Draw the complete circuit showing values being used +s b. Write the expression for Vo. c. If a sine wave of 20mvp at a frequency of 1khz is applied to the input circuit. With...
3. When an oscillator with natural frequency wo is driven by another oscillator with a different natural frequency w, the phenomenon of beats can occur. The existence of beats is very useful when tuning a string instrument by ear. Show that the solution of the undamped oscillator IVP y', +Hy-Asin(wt), y(0)--, wo+w with y(0)-0, leads to beats, by first solving the IVP and then plotting the solution using MATLAB for A w = 1.1 and t є [0, 1001. 1,...
Determine the equation of motion and calculate the natural frequency of the system when x(t), the downward displacement of the block, is measured from the system's equilibrium position.