Direction of displacement,velocity and acceleration in an oscillation

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Discussion Overview

The discussion revolves around understanding the direction of displacement, velocity, and acceleration in simple harmonic motion, particularly in the context of oscillating systems like pendulums and springs. Participants explore how to assign positive and negative values to these vectors based on their definitions and contexts.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about determining the direction of displacement, velocity, and acceleration in oscillations.
  • Another participant explains that displacement is a vector representing distance from the equilibrium point, and acceleration is directed towards the equilibrium point.
  • A participant seeks clarification on how to assign positive or negative values to displacement in the context of a vertically oscillating pendulum.
  • Responses suggest that the assignment of positive and negative directions is arbitrary and can vary based on the chosen reference frame or context, such as making upward positive for a pendulum or extension positive for a spring.

Areas of Agreement / Disagreement

Participants generally agree that the assignment of positive and negative directions is arbitrary, but there is some uncertainty regarding specific examples and contexts.

Contextual Notes

The discussion does not resolve how to universally apply the positive and negative assignments across different oscillating systems, as it depends on individual choices and conventions.

hikarigenzo
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Hi,good morning. I encountered a problem regarding simple harmonic motion. I have seen the graphs of displacement, velocity and acceleration in an oscillation. How to determine the Direction of displacement,velocity and acceleration in an oscillation? I really have no idea

Thanks
 
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hi hikarigenzo! :wink:
hikarigenzo said:
How to determine the Direction of displacement,velocity and acceleration in an oscillation?

i don't understand what you're asking about :confused:

can you give an example? :smile:
 
Simple harmonic motion is defined (in one way) as the motion resulting when a force is proportional to a displacement and directed back towards the equilibrium point.
Displacement is a vector... distance from equilibrium point.
Acceleration is proportional to force (a=F/m) and is therefore directed towards the equilibrium point
Velocity... depends on position
 
Thanks for the replies, I should rephrase my question. The positive or negative sign in displacement in the oscillation depends on what? For example, a pendulum that oscillates vertically, how do we give the positive or negative? Is it based on the direction like upwards positive and downwards negative or positive is given to the position above the equilibrium? Thanks. I reply quite slow because I am now preparing for exam.
 
hi hikarigenzo! :smile:
hikarigenzo said:
… For example, a pendulum that oscillates vertically, how do we give the positive or negative? Is it based on the direction like upwards positive and downwards negative or positive is given to the position above the equilibrium?

for a pendulum, it's arbitrary …

you can make left positive, or you can make right positive, it makes no difference

for a bungee jumper, you'd make up positive, simply because making down positive would be annoying (but you could make down positive if you really wanted to)

for a spring, you'd usually make extension positive, but you don't have to, and if two springs are joined together, you often make extension positive for one and extension negative for the other

to sum up …

it's arbitrary, don't worry about it! :biggrin:
 
tiny-tim said:
hi hikarigenzo! :smile:


for a pendulum, it's arbitrary …

you can make left positive, or you can make right positive, it makes no difference

for a bungee jumper, you'd make up positive, simply because making down positive would be annoying (but you could make down positive if you really wanted to)

for a spring, you'd usually make extension positive, but you don't have to, and if two springs are joined together, you often make extension positive for one and extension negative for the other

to sum up …

it's arbitrary, don't worry about it! :biggrin:


Thanks. I got it
 

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