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Four straight rods are each 1.0m, with masses 1.0 kg, 2.0kg, 3.0 kg and 4.0kg. The...

Four straight rods are each 1.0m, with masses 1.0 kg, 2.0kg, 3.0 kg and 4.0kg. The rods form a square in the xy-plane so that the 1.0kg rod is placed along the x-axis with its left end at the origin. The 2.0kg rod is placed along the y-axis with its lower end in the origin. The 3.0kg rod is parallell with the x-axis.

a) Find the square's center of mass (draw a figure).

b) Calculate the square's moment of inertia around an axis through the center of the square, parallell with the z-axis.

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