K.E. and P.E. in a Pendulum and Spring

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The discussion focuses on the interconversion of kinetic energy (K.E.) and potential energy (P.E.) in a pendulum and spring system. In a pendulum, at maximum deflection, the bob possesses maximum potential energy (PEmax), while kinetic energy is zero. As the pendulum swings, potential energy decreases while kinetic energy increases, maintaining the conservation of energy principle. The potential energy at any angle of deflection can be calculated using basic trigonometry, leading to the equation K.E. = PEmax - PE(theta). The conversation emphasizes the importance of individual effort in understanding these concepts.
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Can anyone explain the conversion of K.E and P.E during compression and expansion of spring and during the motion of pendulum ?
 
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Start with the pendulum. Which bit don't you understand? Do you know what PE and KE are?
 
CWatters said:
Start with the pendulum. Which bit don't you understand? Do you know what PE and KE are?
Yes .. i know that. I just want you to explain the interconversion of K.E and P.E as pendulum moves to and fro ,
 
We're not going to do that. We require our members to put more effort than that into their own learning.
 
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At maximum deflection the bob has maximum Potential Energy. Call that PEmax.

Using Basic trig. you can calculate the bob height and hence the PE at any angle of deflection. Let's call that PE(theta) where theta is the instantaneous angle of deflection.

Then applying conservation of energy...

PE(theta) + KE(theta) = PEmax
or rearrange that to give
KE(theta) = PEmax - PE(theta)

Edit: Sorry russ_watters is right. That's why I haven't calculated PE(theta) for you.
 
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