Four small spheres, each of which you can regard as a point of mass 0.200 kg, ar
ID: 2231423 • Letter: F
Question
Four small spheres, each of which you can regard as a point of mass 0.200 kg, are arranged in a square 0.400 m on a side and connected by light rods a)Find the moment of inertia of the system about an axis through the center of the square, perpendicular to its plane (an axis through point O in the figure). b)Find the moment of inertia of the system about an axis bisecting two opposite sides of the square (an axis along the line AB in the figure). c)Find the moment of inertia of the system about an axis that passes through the centers of the upper left and lower right spheres and through point O.
Explanation / Answer
a. Required moment of inertia = 4 * (0.200) * (0.200 * v2)^2 kgm^2 = 0.064 kgm^2 b. Required moment of inertia = (1/2) * (0.64) = 0.032 kgm^2 c. moment of inertia of the spheres lying on the axis is zero. Sum of the moments of inertia of the remaining two spheres = 2 * (0.200) * (0.200 * v2)^2 = 0.032 kgm^2.
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