Consider the springmass system shown below. A mass of m 5 kg has stretched a spring...
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Consider the springmass system shown below. A mass of m 5 kg has stretched a spring by So= 1.5 meters and is at rest. A damping system is connected that provides a damping force equal to 30 times the instantaneous velocity of the mass. At time t = 0, the mass at rest has an external force of f(t) = 25 sin(101) applied. Unstretched  y = 0 m www. m C f(t) a) Write a differential equation that models the mass location y(t) as a function of time. Solution: Put your math/explanation here...... b) Identify an appropriate solution technique, and solve the differential equation for y(t). Solution: Put your math/explanation here... c) Use MATLAB to plot your solution for t=0 to t = 20. Solution: code d) What is the steadystate solution of y(t)? Solution: Put your math/explanation here.... e) Use the MATLAB dsolve() function to solve the differential equation and plot the solution on a new figure. The results provided by dsolve() and your solution from part (b) should match. Solution: code Consider the springmass system shown below. A mass of m 5 kg has stretched a spring by So= 1.5 meters and is at rest. A damping system is connected that provides a damping force equal to 30 times the instantaneous velocity of the mass. At time t = 0, the mass at rest has an external force of f(t) = 25 sin(101) applied. Unstretched  y = 0 m www. m C f(t) a) Write a differential equation that models the mass location y(t) as a function of time. Solution: Put your math/explanation here...... b) Identify an appropriate solution technique, and solve the differential equation for y(t). Solution: Put your math/explanation here... c) Use MATLAB to plot your solution for t=0 to t = 20. Solution: code d) What is the steadystate solution of y(t)? Solution: Put your math/explanation here.... e) Use the MATLAB dsolve() function to solve the differential equation and plot the solution on a new figure. The results provided by dsolve() and your solution from part (b) should match. Solution: code
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Step 12 To solve this problem we can use Newtons second law of motion which states that the force ac... View the full answer
Related Book For
University Physics with Modern Physics
ISBN: 9780321696861
13th edition
Authors: Hugh D. Young, Roger A. Freedman, A. Lewis Ford
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