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1. The moment of inertia of a thin uniform bar with mass M and length L around its axis of symmetry (as shown below) is
1. The moment of inertia of a thin uniform bar with mass M and length L around its axis of symmetry (as shown below) is 1 Y I = ML2 12 Bl You are in the process of finding a formula for the moment of inertia of a unform density two-dimensional (flat) diamond mat, rotating about the y-axis as shown in the right-hand figure above. Decide how you can \"chop up\" the mat into differential elements so you can use the formula for the moment of inertia of the rod rotating as shown above. a. Draw the diamond on your paper, and on that diamond, draw a representative differential element that will allow you to use the formula above. b. Introduce a parameterizing variable that distinguishes between the different differential elements. Draw a clear definition of that variable on the diagram, and list the maximum and minimum values for that variable
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