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MathematicalPhysicist
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How do I guarantee that that the friction in the movement of a simple mathematical pendulum is negligible?
Heavy weight compared to the stand that the pendulum is situated on it, or something else?BvU said:Use a heavy weight, minimize air resistance, use diamonds for bearings, etc...
the air that has to be pushed aside for the pendulum to move. Can also be achieved by putting the whole thing in vacuo.MathematicalPhysicist said:Heavy weight compared to
To what purpose ? Saving energy, building a pepertuum mobile, verifying ##T=2\pi \sqrt{g\over l}##, other ?MathematicalPhysicist said:friction in the movement of a simple mathematical pendulum is negligible?
Verifying the formula.BvU said:the air that has to be pushed aside for the pendulum to move. Can also be achieved by putting the whole thing in vacuo.
To what purpose ? Saving energy, building a pepertuum mobile, verifying ##T=2\pi \sqrt{g\over l}##, other ?
Familiar with the Reversible (Kater's) Pendulum ?
Do they exist ? What are you doing to verify this T formula ?MathematicalPhysicist said:it's point mass
Nice thing about that one is that it is the exact equivalent of a mathematical pendulum.MathematicalPhysicist said:link you gave is for the physical pendulum
The post has been removed because it contained a picture in which some personal information could be seen.BvU said:Don't see no point mass ...
So I guess it should work as a mathematical pendulum when the angle of release of the ball is small.BvU said:Only looked at the picture when it was still there.
Way I meant it was that a ##\ \ \approx## 1 inch diameter metal ball is not a point mass.
Experiment !MathematicalPhysicist said:How do I find the limits of small angles appropriate for a suitable mass
Good to know there's big brother.BvU said:Experiment !
[edit] and of course, nowadays you also use your big brother friend google for a peek at the expression ... ##\qquad##
Friction in a simple mathematical pendulum is the resistance force that opposes the motion of the pendulum as it swings back and forth.
Friction can cause the pendulum to slow down and eventually come to a stop due to the loss of energy caused by the friction force.
Friction can be minimized by using a smooth and lubricated pivot point for the pendulum and reducing air resistance by using a streamlined shape for the pendulum bob.
The friction force in a simple mathematical pendulum can be calculated using the coefficient of friction, the normal force, and the angle of the pendulum's swing.
Some real-life examples of friction in a simple mathematical pendulum include a grandfather clock, a playground swing, and a metronome.