Three particles,each of which has a mass of 80 g,are positioned at the vertices of an equilateral triangle with sides of length 60 cm.The particles are connected by rods of negligible mass.What is the moment of inertia of this rigid body about an axis that is parallel to one side of the triangle and passes through the respective midpoints of the other two sides? A)0.018 kg.m² B)0.020 kg.m² C)0.016 kg.m² D)0.022 kg.m² E)0.032 kg.m²

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Quizplus · Accepted Answer

The moment of inertia is calculated using the perpendicular distance from each mass to the axis. For an equilateral triangle, the perpendicular distance from a vertex to the midpoint of the opposite side is (sqrt(3)/2) * side length. Using the parallel axis theorem and the geometry of the triangle, the moment of inertia is calculated to be 0.016 kg·m².

Three Particles,each of Which Has a Mass of 80 G,are