ME 431 Homework


Homework 05

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Didn't we just do this? Yep... its Homework 05

Lyric of the day
But I'm near the end and I just ain't got the time
And I'm wasted and I can't find my way home.

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The download link for Homework 5 points to homework 4.

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How is the forcing frequency different from the natural frequency?
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The forcing frequency is the frequency of the external harmonic force, usually like F*sin(omega*t). The natural frequency is a property of the system and is given as omega_n=sqrt(k/m).

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In this problem we are trying to find conditions for which the disk rolls without slip which means we cannot use the no slip condition to create constraints between x and theta...should the end goal of this problem be to find values of Mo for which those constraints could be used?
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The easiest way for this problem is to assume the no slip condition and solve for the motion. Then go back and evaluate the friction force as a function of time and finally find the maximum input amplitude so that the Coulomb friction inequality is satisfied.

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For question 2 with the rotating imbalance, I'm assuming the "m" in the equation of motion is the total mass of the system, correct?
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Also for Q4 what does the problem mean by "elastic constant"?
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You are able to redesign the spring of the supporting foundation to meet the desired performance. Choose wisely...
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Is the external force acting on the mass related to the initial height of the base and the acceleration due to gravity?