V8-7. Write the equation of motion for the given system with y as the dependent variable....
7. (a) Explain what is meant by damped harmonic motion, and write down a differential equation describing this phenomenon b) Give an example of a damped harmonic oscillator in practice. Sketch the oscilla- tions it undergoes, and calculate their frequency and damping rate for a natural (undamped) frequency wo 10 Hz and damping coefficient γ-: 2.0 s-1
7. (a) Explain what is meant by damped harmonic motion, and write down a differential equation describing this phenomenon b) Give an example...
012) Write the equation of motion if the system is undamped as shown above and derive the displacement response of the system if P(t) is given as in Figure 2. (4 Points) P(t) Po 2t Figure 2: P(t) force as a function of time
012) Write the equation of motion if the system is undamped as shown above and derive the displacement response of the system if P(t) is given as in Figure 2. (4 Points) P(t) Po 2t Figure...
Write the differential equation of motion for the system shown in the figure, and find the damped natural frequency and damping ratio of this system.
For the following system (a) write the equation of motion in terms of the vertical displacement of mass that both pulleys are massless and frictionless m and (b) find the natural frequency of the system. Assume X 4h аЕ во
2. The equation of motion for an undamped forced vibration system is given as, * + 169x = 40t Determine the response by Convolution Integral method
23 (1) ay Determine whether the given first-order differential equation is linear in the indicated dependent variable by matching it with the differential equation given in (7) in Section 1.1, - + 2(x) = g(x). dx (7 - 1) dx + x dy = 0; in y; in x The differential equation is ---Select--- in y and ---Select--in x.
The dependent variable y is missing in the given differential equation. Proceed as in Example 1 and solve the equation by using the substitution - y x²y" + (x2-0 yix)
2. Let the following data be given where X is the independent variable and Y is the dependent variable Find the correlation coefficient r a. a and B,onpfrom the sample for the model: b. Estimate +tx and the actual data Y where ε is the random error between the fitted model f by Y write the linear equation P=" dr-h Predict the value of P when x = 8 c. d.
2. Let the following data be given where X...
. Write a regression equation for annual salary where y is the dependent variable (salary) and x is the independent variable (MONTHS of education) assuming you receive no fixed salary and you have 5 years of education
An object is in simple harmonic motion. Find an equation for the motion given that the frequency is 1⁄π and at time t = 0, y = 1, and y' = 0. What is the equation of motion?