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

  • Level: High School 
  • Thread starter Haseeb Ali
  • Start date
  • Tags Tags
    Pendulum Spring
4 replies · 2K views · last reply
Haseeb Ali
Messages
6
Reaction score
0
Can anyone explain the conversion of K.E and P.E during compression and expansion of spring and during the motion of pendulum ?
 
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 ,
 
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.
 
  • Like
Likes   Reactions: Haseeb Ali