# The Ratio Of The Lengths Changes

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Question 1: What happens to the motion as the ratio of the lengths changes? (Thinking) If you decrease the length of the top one (L1) =0 then L2 becomes a simple pendulum and undergoes simple harmonic motion. If you increase L1 more, then l2 undergoes faster chaotic motion and if you decrease the length, it will become less chaotic. Question 2: At first glance, why does there appear to be much more energy in the pendulum than was put into it when it was released? (Communication) There are a few reasons why it seems like that. First, the pendulum was started with a push rather than dropped, so that will put more energy into the system than it perhaps seems like there should be. Second, the lower the pendulum is, the less potential…show more content…
That is, when the long leg slows down just a little, there is enough energy for the short leg to speed up quite a bit. Question 3: After testing out the double pendulum, do you think the angle needed to undergo simple harmonic motion would be a big or small? Why do you think it occurs at a big or small angle? (Application) For the double pendulum to undergo simple harmonic motion the angle needs to be very small. Since the double pendulum’s purpose is to undergo chaotic motion we would need to let of the legs at an angle of 5-8 degrees. This is because the shorter leg is very easy to spin and lose control of its motion. Letting go at a small angle will not give it enough momentum or speed to undergo chaotic motion but it will however, give it enough speed and momentum for both legs to undergo simple harmonic motion. Question 4: Ali lets go of the legs of a 543g double pendulum with a radius of 0.1 m from a height of 0.3m and the velocity is 8 m/s. Calculate the centripetal acceleration and gravitational potential energy. (Knowledge) Gravitational Potential Energy & Forces This concept relates back to unit 2 where in class we discussed about gravitational energy and power. The standard definition of a pendulum according to Webster is a body suspended from a fixed support so that it swings freely back and forth under the influence of gravity or another type of force.