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Scale independent force-displacement relation?

Peyman Khosravi's picture

Scale of mechanical systems and force-displacement relation

I have a question which has kept my mind busy recently. Assume that we have a system of two masses (m) as shown in the figure. The force (F) results from the gravity force between two masses (m) apart at distance (d), and is applied on a bar with modulus of elasticity (E), length (L), and cross section (A). Assume two pictures are taken from this system from two different distances. So, although the two pictures show an identical system, one of them looks smaller in size compared of the other one.

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