Can free body diagrams be used if friction at pivot is not negligible?

In summary, free body diagrams can be used in dynamic systems with non-negligible friction at rotational pivots. Incorporating friction into the equations of motion may require considering both forces and torques, and it may result in an indeterminate solution. However, using frictionless pivots as a simplifying assumption can lead to a unique result.
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macardoso
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Are we allowed to use free body diagrams in dynamic systems where there is non-negligible friction in say the rotational pivot between two linkages? If so, how to incorporate friction into the equations of motion? If not, what method allows friction to be accounted for?
 
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macardoso said:
Are we allowed to use free body diagrams in dynamic systems where there is non-negligible friction in say the rotational pivot between two linkages?
Sure, it's just another force. It is a bit tricky at a rotational pivot because there will be a torque as well as a force, but if you're comfortable working with torques around an idealized frictionless pivot you'll be able to introduce the effects of friction naturally.
 
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Sounds good, I'll work on this on my own, and I might post back for clarification on my specific case in the future. Thanks!
 
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Note however that it's likely (or at least possible) that you'll end up with an indeterminate solution, as there could easily be more than one statically balanced set of forces and moments that could result in the final situation. Frictionless pivots are often a simplifying assumption that is necessary to achieve a single unique result.
 

FAQ: Can free body diagrams be used if friction at pivot is not negligible?

Can free body diagrams be used if friction at the pivot is not negligible?

Yes, free body diagrams (FBDs) can still be used if friction at the pivot is not negligible. However, you need to include the frictional force in your diagram and equations of motion to accurately analyze the system.

How do you represent friction at the pivot in a free body diagram?

In a free body diagram, friction at the pivot can be represented as a force acting at the pivot point. This force is usually denoted as a frictional force, and its direction is opposite to the direction of motion or impending motion at the pivot.

What additional considerations are needed when including pivot friction in a free body diagram?

When including pivot friction in a free body diagram, you need to consider the coefficient of friction, the normal force at the pivot, and the direction of the frictional force. These factors will affect the equations of motion and the overall analysis of the system.

How does pivot friction affect the equations of motion in a free body diagram?

Pivot friction introduces an additional force that must be accounted for in the equations of motion. This force can affect both the linear and rotational dynamics of the system, leading to changes in acceleration, velocity, and displacement calculations.

Can you still apply Newton's laws of motion if friction at the pivot is not negligible?

Yes, you can still apply Newton's laws of motion if friction at the pivot is not negligible. However, you must include the frictional force in your force balance equations and ensure that all forces and torques are accounted for in your analysis.

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