Calculating Tension: Force P and Mass m in a Toy Car Train System

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Discussion Overview

The discussion revolves around calculating the tension in a string connecting a boy pulling a train of toy cars, considering the forces involved when the system is in motion at a constant velocity. The scope includes conceptual reasoning and technical explanations related to forces, tension, and motion in a frictionless environment.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that the tension in the string is equal to the pulling force P, assuming negligible friction.
  • Another participant counters that tension varies in every wire and should be analyzed using free-body diagrams.
  • Some participants argue that the tension force should be zero due to the conditions of constant velocity and negligible friction.
  • There is a question raised about how the system can maintain constant velocity if the pulling force P is not zero.
  • A participant humorously suggests that if P is zero, then the system is at rest, implying a riddle-like scenario.
  • One participant posits that there must always be some tension in the string unless gravity is completely neglected, leading to a discussion about the nature of tension in different contexts.

Areas of Agreement / Disagreement

Participants express differing views on the nature of tension in the string, with no consensus reached on whether tension is present or zero under the given conditions. The discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Participants have not fully clarified assumptions regarding the definitions of tension, the effects of gravity, and the implications of a frictionless environment. The discussion includes unresolved questions about the relationship between the pulling force and the resulting motion of the toy cars.

7bear
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1. Suppose that a boy is pulling(Force: P) a train of 4 toy cars(The boy and toy cars are linked with a string) at a constant velocity.
The mass of each car is m kg. If friction is negligible, what is the tension of the string?
Is it equal to force P? That's my guess...
 
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no man...apply the free-body diagrams...and see for yourself...the tension varies in evry wire...
 
The tension force should be zero because you are neglecting friction, and the cars are moving at constant velocity.
 
If the boy pulls with a force P and there is no friction, how is it moving at constant velocity? (Unless P = 0, of course. :confused: )
 
ArmoSkater87 said:
The tension force should be zero because you are neglecting friction, and the cars are moving at constant velocity.

With constant velocity, we can safely change "should be" to "is". The boy only needs to pull to get it started from zero mouvement and then to keep it going if there is friction. That's why wheels were invented. And that's why I'm confident Summer will be back next year.
 
Doc Al said:
If the boy pulls with a force P and there is no friction, how is it moving at constant velocity? (Unless P = 0, of course. :confused: )

It was a riddle yeah! P=0 :biggrin:
 
Wouldn't there always be tension in the string? I mean, it cannot just float in midair, can it? If we neglect gravity completely, as zero friction would seem to suggest, then there would be no tension in the string, but otherwise there would have to be some tension in the string, otherwise it wouldn't be real! I am thinking specifically of a hanging cable and how (if I remember correctly) it hangs in the shape of a parabola under the influence of gravity and no other forces. Hmmm, so how do you make the string have no tension? Maybe you would just place it on a horizontal, flat, frictionless surface too! :rolleyes:
 

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