Force on Body: Showing No Effect on Acceleration

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Discussion Overview

The discussion revolves around the concept of how two forces acting simultaneously on a body can be shown to not affect each other's action, particularly when they are acting obliquely. Participants explore the implications of vector addition and the parallelogram law in the context of force and acceleration.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose that forces obey the superposition principle, suggesting that the total force is the vector sum of individual forces.
  • There is a request for clarification on how the parallelogram addition of forces is proved, indicating a need for foundational understanding.
  • One participant mentions that force is defined as a vector quantity, which leads to vector addition, but questions about the proof of this definition arise.
  • A historical reference to Newton's description of force acting independently is made, noting that he observed that a body acted upon by two forces would describe the diagonal of a parallelogram.
  • Another participant expresses confusion regarding the vector addition of acceleration, indicating a lack of clarity on the topic.
  • A separate question about calculating work based on the components of applied force is raised, but it is met with a reminder about forum rules regarding homework help.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the proof of the parallelogram law or the independence of forces. There are multiple competing views and ongoing questions about the definitions and implications of vector forces.

Contextual Notes

Some participants express uncertainty about the definitions and proofs related to vector addition and the behavior of forces, indicating potential limitations in their understanding of the foundational concepts.

batballbat
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if two forces act simulataneously on a body how can we show than one force does not effect the action of the other force? (provided they are acting obliquely)
Specifically, how can we show that the acceleration of one force remains the same in that direction?
 
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batballbat said:
if two forces act simulataneously on a body how can we show than one force does not effect the action of the other force? (provided they are acting obliquely)
Specifically, how can we show that the acceleration of one force remains the same in that direction?

I'm not sure what you're asking. Forces obey the superposition principle. The basic idea is that the total force acting on a body is the vector sum of all the individual forces acting on that body.
 
sorry u didnt understand my question. i ask it again: how is the parallelogram addition proved?
 
You posit that forces are vectors. Vectors obey the parallelogram law.

This is true by definition. What's the prove?
 
did i?
somebody help me with this
 
actually the first question is what i want. parallelogram follows from it.
if two forces act simulataneously on a body how can we show than one force does not effect the action of the other force? (provided they are acting obliquely)
 
You essentially want a proof of a definition. This was what I was trying to get at. Force is defined to be a vector quantity, therefore forces add by vector addition.
 
why is force a vector? why not electrical current?
 
It's a definition. What much else can I say? You make models of how the universe works. In those models you need to make some clear definitions. If your model describes the universe correctly then you keep it, if not, you get a new model.

I don't get what you are looking for.
 
  • #10
my question arised when the vector addition of acceleration was not clear in my mind
 
  • #11
Newton described the concept that forces act independently and add as a parallelogram as:

“A body, acted on by two forces simultaneously, will describe the diagonal of a parallelogram in the same time as it would describe the sides by those forces separately.”

This was done before the concept of vectors and is one of the reasons that vectors are defined the way that they are. Presumably Newton and others got the notion from observation and experiment. I don't know what setup they used to prove it but if you want to show that two forces acting simultaneously on a body don't affect each other you'll have to go to the lab measure the affect of one force then the other applied individually and then measure them applied simultaneously.

I feel like there should be a standard classroom experiment to show this but I can't think of one off hand.
 
  • #12
I have a question too
what should be the value of the work,if vertical component is 2/3 time to the hoizontal component of the applied force,while the displacement in the direction of applied force is x metres?
please give me a complete solution...
 
  • #13
VICKZZA said:
I have a question too
what should be the value of the work,if vertical component is 2/3 time to the hoizontal component of the applied force,while the displacement in the direction of applied force is x metres?
please give me a complete solution...

No, we don't do your homework for you here. Please read the forum rules. If you have given the problem a decent attempt and need help/guidance, then post your question in the homework help section *using the template* provided for homework help posts (in which you must show your attempt so far).

Also, please post separate topics in separate threads -- don't hijack other people's threads
 

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