Two damped pendulums with different masses.

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In summary, a damped pendulum is a physical system consisting of a swinging mass that is affected by a damping force, which reduces its amplitude over time. The damping can be measured by observing the decrease in amplitude of the swings and the mass of the pendulum does not directly affect the damping, but can have an impact through factors such as air resistance. Damped pendulums have various real-world applications, including timekeeping devices, seismometers, and shock absorbers. They are also used in research to study the effects of damping on physical systems.
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Two simple pendulums with the same length L but different masses, m1 and m2=2*m1, are set swinging at the same time with the same initial amplitude. Both pendulums are damped by the same force, Fdamp=-[tex]\gamma[/tex]s(dot). Eventually, the amplitude of the lighter pendulum decreases to half its initial value.
[tex]\gamma[/tex]




I have found the equation [tex]\frac{A(t)}{Ao}[/tex]=e(-[tex]\gamma[/tex]t/2m), however I am not sure how to apply it correctly.
 
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What do you need to find in the first place?
 

Related to Two damped pendulums with different masses.

1. What is a damped pendulum?

A damped pendulum is a physical system consisting of a mass attached to a rod or wire that is free to swing back and forth. The motion of the pendulum is affected by a damping force, which reduces the amplitude of the swing over time.

2. How do you measure the damping of a pendulum?

The damping of a pendulum can be measured by observing the decrease in amplitude of the pendulum's swings over time. This can be done by tracking the motion of the pendulum with a video camera or by using a device such as a motion sensor.

3. What is the relationship between mass and damping in a pendulum?

The mass of a pendulum affects the rate of its oscillations, but does not directly affect the damping. However, a heavier mass may experience more air resistance, which can lead to a greater damping effect.

4. How does the damping of two pendulums with different masses compare?

The damping of two pendulums with different masses can vary depending on factors such as air resistance and the length of the pendulum. In general, a heavier pendulum will experience slightly less damping than a lighter pendulum.

5. What real-world applications use damped pendulums?

Damped pendulums have a variety of uses, including timekeeping devices such as clocks, seismometers for measuring earthquakes, and shock absorbers in vehicles. They are also used in research to study the effects of damping on various physical systems.

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