Question

Three light rods of negligible mass are joined to form an equilateral triangle of length L = 1.90 m.


Three light rods of negligible mass are joined to form an equilateral triangle of length L = 1.90 m. Three masses m1 = 5.00 kg, m2 = 7.00 kg, and m3 = 9.00 kg are fixed to the vertices of this triangle as shown in the diagram below. Treat the masses as point particles.

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(a) What is the moment of inertia of the system about an axis lying in the plane of the triangle, passing through the midpoint of one side and the opposite vertex as shown by the dashed line?  

(b) What is the moment of inertia of the system about an axis passing through the center of the triangle and perpendicular to its plane?  

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