Deciding holonomic constraint by drawing a picture

In summary, a holonomic constraint is a mathematical condition that restricts the possible motions of a system to a specific set of paths or trajectories. It can be decided by drawing a picture, which helps identify components, understand complex relationships, and find solutions. However, this method may not always be applicable or accurate for complex systems.
  • #1
Pushoam
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Homework Statement


upload_2018-3-16_18-23-24.png


Homework Equations

The Attempt at a Solution


I have not understood the question.

So, could anyone please put some more light upon the question?
 

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  • #2
Why don't you do the experiment with a ball or some other sphere ?
Compare with a coin rolling along a ruler
 
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  • #3
Thanks, I did the coin experiment and understood the question. It's constraint of rolling motion of a coin, l = r ## \theta##.
 
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What is a holonomic constraint?

A holonomic constraint is a mathematical condition that restricts the possible motions of a system to a specific set of paths or trajectories. In other words, it limits the possible movement of a system to a certain pattern or shape.

How do you decide a holonomic constraint by drawing a picture?

To decide a holonomic constraint by drawing a picture, you must first identify the components of the system and their possible movements. Then, you can draw a diagram or graph representing the system and its constraints. This can help you visually understand the motion of the system and determine any holonomic constraints.

What are the benefits of using a visual representation to decide a holonomic constraint?

Using a visual representation, such as a drawing or graph, can help you better understand the complex relationships and movements within a system. It can also make it easier to identify any patterns or constraints that may exist, as well as potential solutions for optimizing the system's motion.

Can a holonomic constraint be identified without drawing a picture?

Yes, a holonomic constraint can be identified without drawing a picture. However, using a visual representation can often make the process more intuitive and easier to understand.

Are there any limitations to deciding a holonomic constraint by drawing a picture?

While drawing a picture can be a useful tool for deciding a holonomic constraint, it may not always be applicable or practical for more complex systems. In addition, it is important to keep in mind that a visual representation may not always accurately represent the actual motion of a system.

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