solve this: You have two free undamped mass-spring systems. System 1 has a 32 po

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solve this:

You have two free undamped mass-spring systems. System 1 has a 32 pound mass and stretches the spring 8 feet at equilibrium. System 2 has a mass of 1 kg and a spring constant of 9 N/m. Write the differential equations describing systems 1 and 2. If the systems are driven with a driving force f(t) = 10 sin(omegat) (pounds for system 1, Newtons for system 2), how does this affect the differential equations? Write the new differential equations for each system. Write the general solutions for each driven system if omega = 4. If you neglect the homogeneous solution constants (c1 = 1 and c2 = 1), plot and print out the solutions to both DE from t = 0 to t = 4pi. Which system has a higher amplitude? Why?

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