How Does Deformation Affect the Net Force Between Two Masses?

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Homework Help Overview

The discussion revolves around the effects of deformation on the net force between two masses, specifically when one mass is placed on top of another. The original poster questions whether the normal forces acting on the masses change if the lower mass is able to deform under the weight of the upper mass.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of deformation on the forces acting on the masses, questioning whether the normal force changes when the lower mass deforms. They discuss the balance of forces and the concept of net force in relation to deformation.

Discussion Status

Participants are actively engaging with the concepts of force and deformation, with some suggesting that the initial net force leads to deformation, while others clarify that forces may balance once deformation ceases. There is a recognition of the complexities involved in the scenario, particularly regarding elastic versus plastic deformation.

Contextual Notes

Participants are considering the specific conditions under which the masses are analyzed, including the nature of the materials involved and the assumptions about their rigidity or deformability. The discussion also touches on the implications of weight force and gravitational acceleration in this context.

anonymous99
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Homework Statement
Suppose you have two masses m1 and m2 with m2 on top of m1. I understand the normal force acting on m1 will be m1g+m2g and normal force on m2 will just be m2g but wanted to know, is this only true for rigid masses? If m1 was able to deform from the weight of m2 above it (like a trampoline for example), would a scale underneath m1 register less weight now?
Relevant Equations
Thanks
S
 
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John781049 said:
Homework Statement:: Suppose you have two masses m1 and m2 with m2 on top of m1. I understand the normal force acting on m1 will be m1g+m2g and normal force on m2 will just be m2g but wanted to know, is this only true for rigid masses? If m1 was able to deform from the weight of m2 above it (like a trampoline for example), would a scale underneath m1 register less weight now?
Relevant Equations:: Thanks

S
Consider the vertical balance of forces on each mass. Can there be a net force on either?
 
I think there is for m1 because it wouldn't deform otherwise.
 
John781049 said:
I think there is for m1 because it wouldn't deform otherwise.
Equal and opposite forces are quite able to deform objects.
What does ΣF=ma tell you about the consequences of a net force?
 
haruspex said:
Equal and opposite forces are quite able to deform objects.
What does ΣF=ma tell you about the consequences of a net force?
Well, there is a net force initially then while m1 deforms but once it's stopped deforming forces are balanced? I think it would be like with a trampoline. If someone stands on the trampoline, there's a net force that causes the ropes to sag downwards when you land from each jump and once the trampoline doesn't sag anymore, it will propel you back up.
 
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Even if mass 1 is not elastic and suffers a plastic deformation under the weight of mass 2, would a scale underneath mass 1 and 2 register less weight?

Tip: Weight force is only the result of the combination of mass and the acceleration of gravity.
Have any of those changed for mass 1?
 
John781049 said:
there is a net force initially then while m1 deforms but once it's stopped deforming forces are balanced?
Yes.
Does that answer your original question?
 

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