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

In summary, the conversation discusses the conversion of kinetic energy and potential energy during the compression and expansion of a spring and the motion of a pendulum. The speaker asks for an explanation of this conversion and clarifies their understanding of PE and KE. However, the other person declines to provide a full explanation and instead encourages the speaker to put more effort into their own learning. The conversation then focuses on the pendulum, with the speaker mentioning the calculation of potential energy using basic trigonometry and conservation of energy.
  • #1
Haseeb Ali
6
0
Can anyone explain the conversion of K.E and P.E during compression and expansion of spring and during the motion of pendulum ?
 
Physics news on Phys.org
  • #2
Start with the pendulum. Which bit don't you understand? Do you know what PE and KE are?
 
  • #3
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 ,
 
  • #4
We're not going to do that. We require our members to put more effort than that into their own learning.
 
  • Like
Likes Haseeb Ali
  • #5
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 Haseeb Ali

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

1. What is the relationship between kinetic energy and potential energy in a pendulum or spring?

The total energy of a pendulum or spring is the sum of its kinetic energy (K.E.) and potential energy (P.E.). As the pendulum or spring moves, energy is constantly transferred between K.E. and P.E. For example, at the highest point of a pendulum swing, all of its energy is in the form of P.E. and at the lowest point, all of its energy is in the form of K.E.

2. How does the mass of a pendulum or spring affect its K.E. and P.E.?

The mass of a pendulum or spring does not affect its potential energy, but it does affect its kinetic energy. The greater the mass, the greater the kinetic energy, and vice versa. This is because kinetic energy is directly proportional to mass.

3. How does the length or compression of a spring affect its K.E. and P.E.?

The length or compression of a spring affects its potential energy, but not its kinetic energy. As the length or compression increases, the potential energy also increases, and vice versa. This is because potential energy is directly proportional to the length or compression of a spring.

4. Can a pendulum or spring have both K.E. and P.E. at the same time?

Yes, a pendulum or spring can have both K.E. and P.E. at the same time. This is because energy is constantly being transferred between the two forms as the pendulum or spring moves. For example, at any point during a pendulum's swing, it will have some amount of both K.E. and P.E.

5. How does the amplitude of a pendulum or spring affect its K.E. and P.E.?

The amplitude of a pendulum or spring does not affect its potential energy, but it does affect its kinetic energy. The greater the amplitude, the greater the kinetic energy, and vice versa. This is because kinetic energy is directly proportional to the square of the amplitude.

Similar threads

Replies
2
Views
837
  • Advanced Physics Homework Help
Replies
1
Views
1K
Replies
76
Views
4K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
15
Views
1K
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
897
Replies
5
Views
1K
  • Mechanics
Replies
5
Views
160
Replies
4
Views
1K
Back
Top