Simple pendulum derivation
They also help all students better understand their physical world and how it works in their everyday lives, as well as how to become better citizens by understanding the process of scientific research. The diagram below shows the results of the force analysis for several other positions. Second, observe the diagram for when the bob is at the equilibrium position the string is completely vertical. As we stated on the previous page, the only thing affecting the period of a pendulum is the length of that pendulum. Does the period stay constant as the pendulum oscillates or does it change over time? Time it for 30 or 60 seconds and count how many times it swings back and forth. There is a transformation of potential energy into kinetic energy as the bob moves from position A to position D.
There will be times at which the velocity is a negative value for moving leftward and other times at which it will be a positive value for moving rightward.
This must be the case since we expect that objects that move along circular paths will experience an inward or centripetal force. So, the pendulum in this experiment had a period of 1 second.
The gear will then advance one-half tooth's-width forward and hit the right-hand stop.
Yes, I Did This Project! Having been restored to the equilibrium position, there is no restoring force. It typically hangs vertically in its equilibrium position.
So what forces act upon a pendulum bob?
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