Question

Given m=1, k=1000, b=0.01 Y=5 w=2. Show all steps.

Requirements 1. Derive equation of motion 2. Use Laplace transformation to get the analytical solution. 3. Find expression of displacement and velocity 4. Develop your own computer program to compute solutions 5. Plot results 6. Prepare the final report. Problems I. An instrument is attached to a base whose motion is to be measured. The relative motion between mass m and the base recorded by a rotating drum will indicate the motion of the base. Assume that x is the displacement of the mass, y is the displacement of the base, and zxy is the motion of the pen relative to the base. Ifthe motion ofthe base is y-Ycosar, what is the steady state amplitude ratio of z to y? Show that if o>o, where o, -kIm, the device can be used for measuring the displacement of the base. Show also that if oo,, the device can be used for measuring the acceleration of the base.

Answer 1

I guess the assignment is a series of questions where the agenda 1-6 must be there in total. It will be a very long answer if all the steps are performed. So, I am confining myself to the requirement of the question
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