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

Click For Summary
SUMMARY

Free body diagrams can be utilized in dynamic systems with non-negligible friction at rotational pivots between linkages. When incorporating friction, it is essential to account for both torque and force, as friction acts as an additional force affecting the system's equations of motion. While using free body diagrams is valid, practitioners should be aware that this may lead to indeterminate solutions due to multiple statically balanced sets of forces and moments. The assumption of frictionless pivots is often a simplification to achieve unique results.

PREREQUISITES
  • Understanding of free body diagrams in mechanics
  • Knowledge of torque and its application in rotational systems
  • Familiarity with frictional forces and their impact on motion
  • Basic principles of dynamic systems and equations of motion
NEXT STEPS
  • Study the effects of friction on rotational dynamics
  • Learn about torque calculations in systems with friction
  • Explore methods for resolving indeterminate systems in mechanics
  • Research advanced techniques for analyzing dynamic systems with multiple forces
USEFUL FOR

Mechanical engineers, physics students, and anyone involved in analyzing dynamic systems with frictional forces at pivots will benefit from this discussion.

macardoso
Messages
4
Reaction score
1
TL;DR
See title?
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?
 
Physics news on Phys.org
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.
 
  • Like
Likes   Reactions: macardoso and jrmichler
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!
 
  • Like
Likes   Reactions: berkeman
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.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 19 ·
Replies
19
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
Replies
4
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
7K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K