- #1
Laura85
- 7
- 4
- TL;DR Summary
- I'd like some feedback for solving the Equations of Motion after setting up some Free-Body-diagrams. I have 6 unknown variables and 5 equations and am not sure about the solution.
Hello,
I'm doing an FBD exercise and I'm hoping you guys and girls can give me some feedback. I've already done a lot, but I'm not completely sure about it and since it's part of my Msc Thesis, it's important that I get it right. After setting up the FBDs, I get 5 equations and 6 unknown variables, so I set the resulting moment around the center, Mc, to zero. This allows me to solve the equations and I get the answer that I want, but I'm not sure if it's right since the bodies are rotating. I can't really find a reason to justify that. On the other hand, I also can't see any other equations or ways to solve it.
So, my objective is to show that a C-leg is better in climbing an obstacle then a wheel and that it is due to its geometry decomposing torque more effectively into a positive momentum. To do that, I’ve made an FBD of both bodies when hitting an obstacle. Using the Equations of Motion, I then want to express the resulting moment around point A, Ma, in terms of a set of variables. A positive Ma means the body successfully climbs the obstacle, so plotting Ma against the obstacle height allows me to compare the two. The bodies are assumed to be massless, but there is a load Fg on the center point C. Fg , r and T are constant variables in the calculations.
I've put all my work in the attachment. I'm sorry it's so long, but the deductions take up a lot of space.
Thank you very much in advance,
Laura
I'm doing an FBD exercise and I'm hoping you guys and girls can give me some feedback. I've already done a lot, but I'm not completely sure about it and since it's part of my Msc Thesis, it's important that I get it right. After setting up the FBDs, I get 5 equations and 6 unknown variables, so I set the resulting moment around the center, Mc, to zero. This allows me to solve the equations and I get the answer that I want, but I'm not sure if it's right since the bodies are rotating. I can't really find a reason to justify that. On the other hand, I also can't see any other equations or ways to solve it.
So, my objective is to show that a C-leg is better in climbing an obstacle then a wheel and that it is due to its geometry decomposing torque more effectively into a positive momentum. To do that, I’ve made an FBD of both bodies when hitting an obstacle. Using the Equations of Motion, I then want to express the resulting moment around point A, Ma, in terms of a set of variables. A positive Ma means the body successfully climbs the obstacle, so plotting Ma against the obstacle height allows me to compare the two. The bodies are assumed to be massless, but there is a load Fg on the center point C. Fg , r and T are constant variables in the calculations.
I've put all my work in the attachment. I'm sorry it's so long, but the deductions take up a lot of space.
Thank you very much in advance,
Laura