Spring Force Gauge: Is It Possible to Use a Spring Not Obeying Hooke's Law?

To measure the kinetic friction coefficient, you can use the inclined plane and measure the angle at which the block starts to move, and then use the formula k = tan(angle).In summary, the conversation discusses using a spring that does not obey Hooke's law as a force gauge and how to measure the kinetic friction coefficient using an inclined plane. It is possible to use a spring with a different force-displacement relationship, but the force must be known. If the block on the inclined plane starts to move on its own, it will continue to move until it reaches an obstacle. To measure the kinetic friction coefficient, one can measure the angle at which the block starts to move and use the formula k = tan(angle).
  • #1
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Is it possible to use a spring which does not obey hooke's law as a force gauge? If so, how?

also

If you incline the plane so that the block starts to move do you expect it to slow down and stop? If so why? If not, what do you expect? How can you measure the kintetic friction coefficient using the inclined plane only?
 
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  • #2
Hooke's law is approximation that states that there is linear relationship between force and displacement. In order to measure the force through the displacement, you have to know the law with which force is related to that displacement (the extension of that spring).
For example if the spring has characteristic where the force goes with the square of the displacement then the spaces in your scale won't be equal but will be getting bigger according to the square rule.
So in short yes if you know the law force-displacement.

If the block starts to move by its one, then it will continue to move until some obstacle stops it, assume the angle is not changing, so I won't expect it to stop.
 

1. What is a spring force gauge?

A spring force gauge is a device used to measure the force exerted by a spring. It typically consists of a spring attached to a fixed point, with a scale or digital display to indicate the amount of force being applied to the spring.

2. How does a spring force gauge work?

A spring force gauge works by utilizing Hooke's law, which states that the force exerted by a spring is directly proportional to the distance it is stretched or compressed. The gauge measures this force and displays the result in units of force, such as newtons or pounds.

3. Can a spring force gauge be used with a spring that does not obey Hooke's law?

Yes, it is possible to use a spring force gauge with a spring that does not obey Hooke's law. However, the readings may not be as accurate as they would be with a spring that follows Hooke's law. This is because the gauge is calibrated based on the assumption that the spring follows Hooke's law.

4. What are some examples of springs that do not obey Hooke's law?

Some examples of springs that do not obey Hooke's law are rubber bands, bungee cords, and some types of metal alloys. These springs exhibit non-linear behavior, meaning that the force they exert is not directly proportional to the amount they are stretched or compressed.

5. How can I ensure accurate measurements with a spring force gauge on a non-Hooke's law spring?

To ensure more accurate measurements, it is recommended to use a different type of force gauge specifically designed for non-linear springs, such as a load cell or strain gauge. These devices can account for the non-linear behavior of the spring and provide more accurate readings.

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