If I were to draw a diagram the system of forces acting on a bicycle at high speed in order to demonstrate that the bicycle does not fall over, what is tat type of diagram called?
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$\begingroup$ If you are a new user, please visit the tour page to know more about the kind of information that needs to be added to questions. For example, you can edit the question to add the forces that you already know are acting on the system. Also, are pseudo forces allowed to be considered or only real forces ? $\endgroup$– AJNCommented Mar 12, 2023 at 5:15
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$\begingroup$ No. Research this question yourself and ask questions about things you don't understand. Start with Cornell University research. $\endgroup$– Tiger GuyCommented Mar 12, 2023 at 6:01
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1 Answer
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This is a dynamics problem. So you'd probably need two diagrams, in this type of problem.
You'd need
- the Free Body Diagram which illustrates the forces and moments on the bicycle.
- The Kinetic Diagram which represents the right hand side of the F = ma equation and $M=I\cdot \alpha$
Figure: Example of Free body and Kinetic diagram
IMO, associating each diagram with a side of the Netwon's second law offers a valuable insight. I.e.
- for forces $$\begin{align}\sum F &= ma \\ \text{Free Body Diagram} &= \text{Kinetic Diagram Acceleration}\\ \end{align}$$
- moments $$\begin{align} \sum M &= I\cdot \alpha\\ \text{Free Body Diagram - Moments} &= \text{Kinetic Diag.- Angular Acceleration}\\ \end{align}$$
where:
- $a$ is the linear acceleration
- $\alpha$ is the angular acceleration
