Bifilar pendulum experiment

Click For Summary
SUMMARY

The bifilar pendulum experiment demonstrates that the data aligns closely with theoretical predictions. A key inquiry raised involves the expectation that the period of a bifilar pendulum should match that of a torsional pendulum when the support strings converge at a single point, indicating zero separation. However, the participant struggles to derive the bifilar equation to align with the torsional equation in this limit. The distinction between the restoring forces of a torsional pendulum and a simple ball-on-string pendulum is also highlighted, emphasizing the role of rotational elasticity over gravitational forces.

PREREQUISITES
  • Understanding of bifilar pendulum mechanics
  • Knowledge of torsional pendulum dynamics
  • Familiarity with restoring forces in oscillatory systems
  • Basic principles of rotational elasticity
NEXT STEPS
  • Research the mathematical derivation of bifilar pendulum equations
  • Study the mechanics of torsional pendulums in detail
  • Explore the concept of restoring forces in oscillatory systems
  • Investigate the ball-on-string pendulum problem and its implications
USEFUL FOR

Physics students, mechanical engineers, and hobbyists interested in pendulum dynamics and experimental mechanics will benefit from this discussion.

houlahound
Messages
907
Reaction score
223
Bifilar pendulum, data matches the theory real neat. Do have a question, I would expect the period to match the period of a torsional pendulum for the limit when the support strings are the same point ie zero separation.

I can't get the bifilar equation to reduce to the torsion equation for said limit. Any clues?
 
Physics news on Phys.org
if the 2 pendulum strings are attached at the same point, it has become a simple ball-on-string pendulum.
(the bifilar's ball motion is the same as for a single string, if the string is shorter.)
A torsional pendulum's Restoring Force is caused by a thick support's rotational elasticity, rather than gravity.
 
Not aware of the ball on string problem, google gave ambiguous results. Do you have link?
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 21 ·
Replies
21
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 1 ·
Replies
1
Views
9K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
3
Views
10K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K