Pendulum/planet circular motion

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Both a pendulum and a planet in circular motion exhibit periodic motion, with their paths influenced by gravitational forces. However, a key difference lies in the nature of their motion; the pendulum swings back and forth, while the planet moves in a continuous circular path. The forces acting on them also differ, as the pendulum primarily experiences tension and gravitational force, whereas the planet is subject to centripetal force due to gravity from a larger body. Additionally, a fictitious force, such as centrifugal force, can be considered in the context of the planet's circular motion but does not apply to the pendulum in the same way. Understanding these similarities and differences is crucial for analyzing their respective motions and energy equations.
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The motions of a pendulum and a planet undergoing circular motion are compared.
a. describe the simularity in their motions
b. describe a difference in there motions.
c. Outline a difference in the force(s) acting on the pendulum and the planet.






this is kind of a stupid question and i have no idea where to even start. the only thing i can think of is that both the pendulum and planet are having the force of gravity some how workin around them. if you can help thanks a bunch!
 
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If you consider the projection of the motion of the planet onto "the x-axis" one can see a similarity between the two types of motions.
 
I could be wrong, but it is likely you should consider the motion of the pendulum in the abscense of gravity. You will still find that both the planet and pendulem experience a central force. You should discuss how these central forces differ in origin and magnitude. There is also a fictitious force at play. What is it? Is it different for each case? What is its origin? How do they affect the equation of total energy, etc...
 
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