Does acceleration cause a string to stretch?

In summary, the conversation is discussing the amount of stretch in a wire supporting a pendulum with a 10kg bob. The question is whether the wire would stretch more when the bob is at rest or when it reaches the bottom of its swing where the speed is the greatest. The participants also discuss other forces acting on the bob, such as tension and centripetal force. An experiment is suggested to demonstrate the amount of stretch in the wire during different stages of the pendulum's swing.
  • #1
rezihk
8
0
if you have a pendulum with a 10kg bob at rest, it causes a stretch in the wire supporting it, but if that same bob were to be let go at a certain angle from the vertical, would would the wire stretch more as the bob reaches the bottom of its swing where the speed is the greatest?

in order words

stretch of wire with acceleration > stretch of wire when at rest?
 
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  • #2
i would say so. Consider someone on a swing as they go higher and higher the rope actually slackens and then at midswing its taunt again.
 
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  • #3
so what other forces would be acting on the bob at the bottom of the swing apart from mg?

by what factor would the tension change at the bottom as compared to the top of the swing?
 
  • #4
shouldn't the tension in the string at the bottom of the swing be the same as if it were at rest, and then it be less when it higher?
 
  • #5
since the bob is moving very fast at midswing it wants to go straight ahead but the string is preventing that so there's a component of centripetal force right.
 
  • #6
Do an experiment. Make a pendulum by tying a weight to the end of a piece of elastic. Hang the pendulum above a table, so the weight is just touching the table. Then start it swinging from a horizontal position, and be careful that you are not stretching the elastic when you let the weight go.

The weight will hit the table, showing that the elastic has stretched more than when it was hanging vertically but not swinging.
 

1. Does acceleration always cause a string to stretch?

Not necessarily. The amount of stretching a string experiences due to acceleration depends on factors such as the material and elasticity of the string, the magnitude and direction of the acceleration, and the initial tension of the string.

2. How does acceleration affect the tension in a string?

Acceleration can change the tension in a string, either increasing or decreasing it. This is because acceleration introduces a force on the string, which can alter its equilibrium state and cause it to stretch or compress.

3. Does the direction of acceleration affect the string's stretching?

Yes, the direction of acceleration can affect the string's stretching. If the acceleration is in the same direction as the string, it will cause the string to stretch. However, if the acceleration is in the opposite direction, it can cause the string to compress or even break.

4. What happens to the string when it experiences constant acceleration?

If the string experiences constant acceleration, it will continue to stretch or compress as long as the acceleration is present. The amount of stretching or compression may also increase with time, depending on the properties of the string and the magnitude of the acceleration.

5. Can a string stretch even without acceleration?

Yes, a string can stretch even without acceleration. This is because the tension in a string can change due to other factors such as the weight of the object attached to it or the force applied to it by another object. However, acceleration can greatly affect the amount of stretching a string experiences.

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