Hamilton's equations for double pendulum

AI Thread Summary
The discussion centers on a double pendulum simulation, specifically addressing confusion regarding the variables P1 and P2 in the equations provided on a referenced website. Users are questioning whether these variables are typos and should instead be Pθ1 and Pθ2. The consensus is that the original variables are indeed incorrect and should be replaced with Pθ1 and Pθ2 for clarity. This correction is essential for accurately implementing Hamilton's equations in the simulation. The conversation emphasizes the importance of precise variable notation in physics equations.
Daniel1992
Messages
21
Reaction score
0
At the bottom of the following website are the 4 equations that I am using for a double pendulum simulation.

http://scienceworld.wolfram.com/physics/DoublePendulum.html

The equation for C2 has the variables P1 and P2 and I can't work out what they are.:confused:

Is it a typo and they are meant to be Pθ1 and Pθ2?

Any help would be much appreciated.
 
Physics news on Phys.org
Daniel1992 said:
Is it a typo and they are meant to be Pθ1 and Pθ2?

Yes.
 

Thread '1:1 versus 2:1 Mechanical Advantage debate'

The rope is tied into the person (the load of 200 pounds) and the rope goes up from the person to a fixed pulley and back down to his hands. He hauls the rope to suspend himself in the air. What is the mechanical advantage of the system? The person will indeed only have to lift half of his body weight (roughly 100 pounds) because he now lessened the load by that same amount. This APPEARS to be a 2:1 because he can hold himself with half the force, but my question is: is that mechanical...
View full post »

Thread 'Newton's first law?'

Some physics textbook writer told me that Newton's first law applies only on bodies that feel no interactions at all. He said that if a body is on rest or moves in constant velocity, there is no external force acting on it. But I have heard another form of the law that says the net force acting on a body must be zero. This means there is interactions involved after all. So which one is correct?
View full post »
Thread 'Beam on an inclined plane'

Thread 'Beam on an inclined plane'

Hello! I have a question regarding a beam on an inclined plane. I was considering a beam resting on two supports attached to an inclined plane. I was almost sure that the lower support must be more loaded. My imagination about this problem is shown in the picture below. Here is how I wrote the condition of equilibrium forces: $$ \begin{cases} F_{g\parallel}=F_{t1}+F_{t2}, \\ F_{g\perp}=F_{r1}+F_{r2} \end{cases}. $$ On the other hand...
View full post »

Similar threads

A Modeling the damping of a physical rigid pendulum
Replies
1
Views
2K
Double Pendulum Potential Energy
Replies
4
Views
2K
Deriving Kinetic Energy in a Double Pendulum System
Replies
4
Views
2K
Equations of motion of a double pendulum
Replies
2
Views
4K
Angular acceleration of Pendulum equation
Replies
3
Views
15K
Component forces of a pendulum
Replies
2
Views
1K
Angular constraints on the Inverted Double Pendulum - 'Acrobot'
Replies
1
Views
2K
Pendulum velocity at any given angle
Replies
4
Views
13K
MATLAB Unable to produce desired results using state-space model with observer for inverted pendulum
Replies
0
Views
2K
B Spacetime interval question involving a Pendulum in a Space Ship
Replies
7
Views
1K

Hot Threads

Recent Insights

Back
Top