Help with Damping Questions: How to Start & Learn More

[Motorbiker]

Hello everyone,

I am really stuck on the first question in the document and I don't even know where to begin.

If someone could explain what is happening and how to start the problem, I am confident I will be able to tackle it.

It would also be a big help if you could direct me to some helpful resources so that I can grasp this topic fully,

Thanks a lot.

 

[berkeman]

You need to show us what you know so far before we can be of tutorial help. What does your textbook say about this subject? You should be able to do the first part of the problem for us and find the natural frequency of the stationary crate, no?

 

[Dr.D]

T he problem statement may be cut off, but as it appears here, it speaks of the "undamped natural frequenc(y) damping ratio." This is nonsense. Is there something else intended here?

 

[Chestermiller]

Let's see your force balance equation on the mass M.

 

[Dr.D]

Chester says that you need to write a force balance, but I think he means that you need to apply Newton's second law, F = m*a.

Before that, however, I suggest that you look at the kinematics of this problem. How is the displacement of the mass related to elongation of the spring and rate of elongation of the dashpot? This is the place to start, in my thinking.

 

[Chestermiller]

Chester says that you need to write a force balance, but I think he means that you need to apply Newton's second law, F = m*a.

Before that, however, I suggest that you look at the kinematics of this problem. How is the displacement of the mass related to elongation of the spring and rate of elongation of the dashpot? This is the place to start, in my thinking.

Yes. I agree. The first thing to do in any "pulley problem" is to focus on the kinematics.