# ME 431 Homework

## Homework 05

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.

The download link for Homework 5 points to homework 4.

How is the forcing frequency different from the natural frequency?
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).

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?
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.

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?
Also for Q4 what does the problem mean by “elastic constant”?
You are able to redesign the spring of the supporting foundation to meet the desired performance. Choose wisely...
Is the external force acting on the mass related to the initial height of the base and the acceleration due to gravity?

### Newest Blog Posts

1. Fall 2018 - Gradescope
Mon 03 of Sep, 2018 12:35 EDT
2. Friction
Fri 16 of Mar, 2018 14:52 EDT
3. Gradescope - Homework Submission
Thu 18 of Jan, 2018 19:23 EST