Curious questions about a pendulum

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    Curious Pendulum
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Discussion Overview

The discussion revolves around the effects of various factors on the swing of a pendulum, specifically focusing on the size and mass of the pendulum bob, the mass of the spring, and the material properties of the bob (iron vs. aluminum). The scope includes conceptual reasoning and technical explanations related to pendulum dynamics and air friction.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants question whether increasing the size of the pendulum bob affects the swing, with one suggesting that it may influence the period (T) due to changes in moment of inertia.
  • There is uncertainty regarding how changing the mass of the spring impacts the swing of the pendulum, with one participant recalling a formula but not being able to specify it.
  • Participants discuss the suitability of iron over aluminum for the pendulum bob, with one noting that iron has a higher density, which may relate to air friction effects.
  • One participant argues that air friction is influenced by size, velocity, and rigidity, rather than the density of the object, while another suggests that increasing the mass of the bob would decrease its acceleration, potentially affecting the swing period.
  • There is a proposal that for bobs of equal mass, the smaller volume of iron leads to reduced air friction due to a smaller surface area, indicating an indirect relationship between density and swing period through volume and surface area.

Areas of Agreement / Disagreement

Participants express differing views on how various factors influence the pendulum's swing, particularly regarding the effects of mass, size, and material properties. The discussion remains unresolved with multiple competing perspectives on these issues.

Contextual Notes

Some claims depend on assumptions about ideal versus physical pendulums, and there are unresolved mathematical relationships regarding the effects of mass and size on swing period.

nemzy
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If the size of the ball that is attached to the pendulum increases, will it affect the swing at all?

What if you changed the mass of the spring, will that influence any change in T?

Also, why is that an iron bob is more suited than an aluminum?
 
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For the third question,i have no idea...Fot the second and the first what are your answers and WHY??

Daniel.
 
i'll answer the last one than... the iron is heavier (higher density) than aluminum

think about air friction...
 
for the first part, well since it isn't a point mass this isn't an ideal pendulum. So if i treat this like a physical pendulum, then I, moment of inertia is directly proportional with T, so if size of ball increases , so should T? is my conceptual thinking right or am i missing an important point

Also, when the mass of a string increases, i remember that it will change the swing of the pendulum, and i remember i saw a formula for it somewhere but i just can't remeber where. But changing the mass of a spring , i have no idea how it will effect the swing of a pendulum
thanks
 
Air friction is modeled by Stokes force and aerodynamical force (coming from the dynamical pressure)...They do not imply the density of the object that is moving in that medium...Only size,velocity and rigidness (and of course the "ita" coefficient)...Of course,the density of the medium,too... :-p

Daniel.

http://scienceworld.wolfram.com/physics/StokesFlowSphere.html

EDIT:Despite the indirect effect,the formulas still do not contain the density,but "derived" elements,like radius and cross-section...
 
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the mass of the ball increase sure won't affect the air friction... however, F=ma, if the force doesn't change, and increase the mass... the accelaration will decrease... that's mean the effect of air friction on the ball will decrease , which eventually affect the swing period...
 
I would have been an idiot to claim that air friction would not affect the swing...

Daniel...
 
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ok, so what about my reasonings for quesoitn 1 and 2?
 
nemzy said:
If the size of the ball that is attached to the pendulum increases, will it affect the swing at all?

What if you changed the mass of the spring, will that influence any change in T?

Also, why is that an iron bob is more suited than an aluminum?

For bobs of Al & Fe with the same mass,air friction is smaller for Fe,since its volume is smaller and hence the surface of the sphere (cross-section) is smaller.

So the effect of density is INDIRECT,through:density------>volume----->surface/radius------->friction---------->period of oscillation.

Daniel.
 
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