Pin and Pendulum

[AlanStevens]

Here's a problem I came across years ago. How many times does the damped pendulum hit the pin? Work it out using Mathcad or look at the video I'm about to upload and just count!

Alan

[AlanStevens]

The video is at http://communities.ptc.com/videos/3320

Alan

[ValeryOchkov]

Fine!

But two question:

1. How many touches - 3 or 4?

2. Where is the file?

[ValeryOchkov]

Sumbolic solutions of the Pendulum problem (Maple).

Jacobi sine

Sine (|angle|<7deg - sin a = a):

[AlanStevens]

Valery Ochkov wrote:

Fine!

But two question:

1. How many touches - 3 or 4?

2. Where is the file?

For the answer to 2 - see attached.

For the answer to 1 - see attached!

Alan

[ptc-4903733]

Can you post here the file with a full description of the animation of the pendulum for this task?

[ValeryOchkov]

AlanStevens wrote:

The video is at http://communities.ptc.com/videos/3320

Alan

One more task -

The thread is wound around the pin several times and then swings:

[ValeryOchkov]

Valery Ochkov wrote:

One more task -

The thread is wound around the pin several times and then swings:

The first step to this Math Model (an initial position of the Pendulum):

[AlanStevens]

Ok Valery, see http://communities.ptc.com/videos/3326

But I'll leave you to extend the model to allow the pendulum string to lose tension!

Alan

[ValeryOchkov]

Thanks!

But where is the file!?

[AlanStevens]

Valery Ochkov wrote:

Thanks!

But where is the file!?

See attached.

Alan

[ValeryOchkov]

Sorry, better so: