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Unformatted text preview: occurs when one applies approximately 4.5 kg of “pressure” to a steel ball with a 1.5 mm diameter. A similar result was obtained when they pressed a 3 mm diameter steel ball with a “pressure” of 9.5 kg. You may assume that the cartilage has a modulus of 1.12 MPa. If the tibial plateau is flat, determine the contact radius, indentation depth, peak contact pressure, and peak tensile stress at the failure point. p = 3 F 2 π a 2 σ tensile = 1 2 1 − 2 ν ( ) p 3. Rederive the governing differential equations for a blow to the helmet. Explain the assumptions as you go. Extra credit: plug the equations into Matlab and solve them. Extra, extra credit: how do the equations change if you add a dashpot into the padding of the helmet?...
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 Fall '09

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