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NOTE: What would the anwser be if it was a square plate with a circular hole? The...

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Mechanical Engineering

NOTE: What would the anwser be if it was a square plate with acircular hole?

The metallic, circular plate of diameter D and thickness t, hasa concentric hole of diameter h in its middle, as shown. Metaldensity is ? = 8000 kg/m3 ; D = 5 cm.

1) When h = 0 (no hole), determine the maximum thickness t [inmm] so that the plate can stay afloat on the surface of water at20°C.

2) The plate’s thickness is now 1 mm. Show that, in order forthe plate to stay afloat on water surface, the hole’s diameter hsatisfies a quadratic equation of the form h2 + Ah + B = 0, where Aand B are constants. Using S.I. units [m, kg, s] and with h in m,determine the numerical values of A and B.

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