Pendulum that releases at the bottom end of swing?

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Homework Help Overview

The discussion revolves around a pendulum that is released from a height and swings down, detaching at the bottom to fall as a projectile. Participants are exploring how to determine the distance fallen (d) after the mass is released.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster considers using potential and kinetic energy principles to find the initial velocity before treating the motion as a projectile. Some participants question the initial velocity vector and its significance at the point of release.

Discussion Status

Participants are engaged in exploring the relationship between energy conservation and projectile motion. There is some agreement on the approach of calculating velocity first, but the discussion remains open-ended without a definitive consensus on the next steps.

Contextual Notes

Participants note that the problem is situational and does not require specific measurements or units, which may influence the interpretation of the problem.

jc1821
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This is a VERY broad posting, but I was wondering if I could get some help...

A pendulum is released from its starting point h, it swings down (how fast it swings does not matter) and is released at the very bottom of the swing.

From here the mass is released and falls in a projectile fashion and falls a distance d.

Here's the question... how do you find d?

Keep in mind this is all situational so measurements should be disregarded.

Should I start with PE/KE and move to a projectile motion to construct an answer for this?

Any help is appreciated.
 
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What have you done so far?

What is the initial velocity vector? Initial meaning point of release.
 
This is just a situational question. So, no units.


Fig_3.1.gif


Take this one for example. It is released from the left, but at the bottom it detaches and acts as a projectile. It would fall downward towards a final distance d.

What I speculate you would have to do first is calculate velocity via KE/cons of energy then treat it as a projectile in motion.

Would I be correct in saying so?
 
jc1821 said:
What I speculate you would have to do first is calculate velocity via KE/cons of energy then treat it as a projectile in motion.

Would I be correct in saying so?

Correct. That is exactly how to approach the start of the problem.
 
Ah! Then after that it's just calculating distance that it is projected.

That's great.

Thanks for your timely response.

jc
 

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