Three identical point masses of mass M are fixed at the comers of an equilateral triangle of sides I as shown.
Three identical point masses of mass M are fixed at the comers of an equilateral triangle of sides I as shown. Axis Aruns through a point equidistant from all three masses, perpendicular to the plane of the triangle. Axis B runs through M, and is perpendicular to the plane of the triangle. Axes C, D, and E, lie in the plane of the triangle and are as shown.
Part (a) Determine an expression in terms of M and / for the moment of inertia of the masses about Axis A.
Part (b) Determine an expression for the moment of inertia of the masses about Axis B in terms of M and l.
Part (c) Determine an expression for the moment of inertia of the masses about Axis C in terms of M and I.
Part (d) Determine an expression for the moment of inertia of the masses about Axis D in terms of M and l. Axis D is parallel to the base of the triangle.
Part (e) Determine an expression for the moment of inertia of the masses about Axis E in terms of M and l.
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