Applying torque to a double pendulum

Thread starter Exomnium
Start date Jan 19, 2008
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Double pendulum Pendulum Torque

In summary, applying torque to a double pendulum can change its motion by causing rotational movement. This can lead to chaotic motion due to the sensitivity and nonlinearity of the system. The length of the pendulums also plays a role, with longer pendulums being less affected by torque compared to shorter ones. While there is no specific limit to how much torque can be applied, practical limits exist based on the strength and materials of the system. Friction can also play a role by reducing the impact of torque and resulting in slower and more predictable motion.

Jan 19, 2008

Exomnium

If you apply a torque t to a double pendulum with masses and lengths, m1. m2, l1, and l2, what is the torque experience by each individual mass?

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Jan 19, 2008

Dale

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where are you applying the torque?

Jan 19, 2008

Exomnium

The pivot of the upper pendulum.

1. How does applying torque affect the motion of a double pendulum?

Applying torque to a double pendulum can change the direction and speed of its motion. This is because torque is a force that causes rotational motion, and the double pendulum is a system that is able to rotate in multiple directions.

2. Can applying torque to a double pendulum cause it to swing in a chaotic manner?

Yes, applying torque to a double pendulum can lead to chaotic motion. This is because the double pendulum is a highly sensitive and nonlinear system, meaning that small changes in initial conditions or applied forces can result in drastically different outcomes.

3. How does the length of the pendulums affect the effect of torque on a double pendulum?

The length of the pendulums can affect the impact of torque on a double pendulum. Longer pendulums will have a greater moment of inertia, making it more difficult to change their rotational motion with torque. Shorter pendulums will have a lower moment of inertia, making them more responsive to applied torque.

4. Is there a limit to how much torque can be applied to a double pendulum?

There is no specific limit to how much torque can be applied to a double pendulum, but there are practical limits based on the strength and materials of the system. Applying too much torque can cause the pendulums to break or become unstable.

5. How does friction affect the effect of torque on a double pendulum?

Friction can reduce the impact of torque on a double pendulum by dissipating some of the applied energy. This can result in slower and more predictable motion compared to a frictionless system, where torque can have a greater influence on the pendulums' motion.