Vertical energy of a pendulum - is there one?

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SUMMARY

The discussion centers on the concept of vertical kinetic energy in the context of a simple pendulum. Participants clarify that while the velocity of the pendulum can be decomposed into vertical and horizontal components, kinetic energy is defined by the total velocity vector, which does not differentiate between these components. Therefore, vertical kinetic energy is not a separate entity but rather a component of the overall kinetic energy of the pendulum. This understanding resolves the initial inquiry regarding the existence of vertical kinetic energy.

PREREQUISITES
  • Understanding of basic physics concepts, specifically kinetic and potential energy.
  • Familiarity with vector decomposition in physics.
  • Knowledge of simple pendulum mechanics.
  • Basic mathematical skills to interpret velocity components.
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  • Study the principles of energy conservation in mechanical systems.
  • Explore vector decomposition techniques in physics.
  • Investigate the dynamics of simple harmonic motion in pendulums.
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Physics students, educators, and anyone interested in understanding the mechanics of pendulums and energy concepts in classical mechanics.

jojotank
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Homework Statement


Hello. I was just wondering. You have a simple pendulum . string and a ball with mass at the end. We usually solve examples and we think about conversation of kinetic energy and potentional energy. I was just wandering if there is also something like vertical kinetic energy. Or it is just a part of kinetic energy itself (just the sine part of velocity vector). If it exist, i know it is very small. I was just wondering... Thank you.

Homework Equations


no need for them

The Attempt at a Solution


thinking
 
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Not quite sure what you mean. You can certainly express the velocity of the pendulum in terms of vertical and horizontal components, but the kinetic energy uses the full velocity. Velocity has a direction, but kinetic energy does not.
 
It is totaly clear now. Thank you.
 

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