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Equations of force and torque equilibrium

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Question deals with a leaning platform supported by three springs and a point loan on top. see file for specifics.

Given: Looking down on platform supported by three springs arranged in an isosceles triangle pattern. Spring constant for orange springs =k1. Spring constant for purple spring =k2.

Find: If a 350 lbs weight is put on platform at point shown, what will be the deflection in the Z direction at the
star? What will be the deflection at the purple spring?

See the attached file.

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The explanations are in the attached file.

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Solution Summary

The solution solves the equations of force and torque equilibrium to find the displacement at any point on the platform.