Exploring How η Depends on Masses M and m

  • Thread starter manimaran1605
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In summary, η is a function of the masses M and m, and it increases as the masses increase and decreases as they decrease. The type of material being explored also affects η, as materials with different properties can impact the force required to move them. η can be calculated using the formula η = F/(M+m), where F is the applied force and M and m are the masses of the objects. In an experiment, η can be measured by using a force sensor and a scale to obtain the necessary values for the formula. Other factors that may affect η include surface texture, angle of applied force, and external forces. These factors should be controlled for in an experiment to accurately explore the relationship between η
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manimaran1605
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Homework Statement



I have proved that η does not depend on l, but in the solution the author (classical mechanics by David Morin) claimed that η depends on both of the masses M and m, But i don't understand how, please explain me?

Homework Equations





The Attempt at a Solution

 

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  • #2
Can you show your proof please? D:
 

1. How do the masses M and m affect η?

The masses M and m directly affect η, as η is a function of these two variables. Specifically, η increases as the masses of M and m increase, and decreases as their masses decrease. This is because the greater the masses, the more force is required to move them, resulting in a larger η value.

2. Is η affected by the type of material being explored?

Yes, η is affected by the material being explored. Different materials have different properties, such as density and elasticity, which can impact the force needed to move them and therefore affect η. For example, a more dense material will likely have a higher η value compared to a less dense material.

3. Can η be calculated using a formula?

Yes, η can be calculated using the formula η = F/(M+m), where F is the applied force and M and m are the masses of the larger and smaller objects, respectively. This formula takes into account the relationship between the applied force and the masses, which ultimately determines the value of η.

4. How is η measured in an experiment?

In an experiment exploring how η depends on masses M and m, η can be measured by first measuring the applied force using a force sensor. Then, the masses M and m can be measured using a scale. Finally, the values can be plugged into the formula η = F/(M+m) to calculate the η value.

5. What other factors might affect η?

In addition to the masses of M and m and the material being explored, other factors that may affect η include the surface texture of the objects, the angle at which the force is applied, and any external forces acting on the objects. These factors should be controlled for in an experiment to accurately explore how η depends on masses M and m.

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