Conceptual question on simple harmonic motion

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Homework Help Overview

The discussion revolves around a conceptual question related to simple harmonic motion, specifically focusing on the period of swings occupied by individuals of different weights and positions. The original poster explores the effects of mass and posture on the swinging period.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand why their assumption about the period remaining unchanged when Jim stands on the swing is incorrect. Participants question the factors that influence the period of a swing and consider the implications of changing positions.

Discussion Status

Participants are actively exploring the relationship between mass, position, and the period of a swing. Some guidance has been offered regarding the factors that determine the period, but there is no explicit consensus on the implications of Jim's change in posture.

Contextual Notes

There is an ongoing discussion about the specific variables that affect the period of a swing, particularly in the context of standing versus sitting. The original poster's misunderstanding of the period's dependence on mass and position is a focal point of inquiry.

xregina12
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1. a. Jim and Gina are swinging on adjacent swings of equal length. Jim weighs about twice as much as Gina. Who takes less time to swing back and force.
I got this answer, which is that they take the same time since mass doesn't affect the period in simple harmonic motion. However, I don't get part b below.

b. What, if anything, will change if Jim swings while standing on the seat of his swing?
I. Jim's period will decrease.
II. Gina's period will decrease.
III. No change in the period.

I put no change, however, the answer is wrong, does anyone know why?
 
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What things does the period depend on? Think about whether standing vs. sitting in the swing will change any of those things.
 
Well I know the equation for period is T=2pi(L/g)^(1/2) however, 2pi and the length are constants, and g, acceleration due to gravity, I believe won't really remotely change to any notable degree so I don't see why the period changes.
 
What distance does the length L actually refer to?
 

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