In this formula, mi is the mass of the ith particle and ri is the distance of th

Question

In this formula, mi is the mass of the ith particle and ri is the distance of that particle from the axis of rotation. For a rigid object, consisting of infinitely many particles, the analogue of such summation is integration over the entire object: In this problem, you will answer several questions that will help you better understand the moment of inertia, its Figure 1 of 1 Mass of particle a m m Mass of particle b 2m 3r Part C Find the moment of inertia L of particle a with respect to the particle a with respect to the yaxis, and the moment of inertia perpendicular to both the xand y axes). Express your answers in terms of m and r separated by e mm2,9mr2, 10m, 2 Submit My Answers Give Up Correct Part D Find the total moment of inertia I of the system of two particles Express your answer in terms of m and r. Ewa Submit My Answers Give Up MacBook Pro

Explanation / Answer

As 3r is the x coordinate of particle. So distance from y axis is 3r. Similarly, r is the y coordinate of particle. So distance from x axis is r. Also, as the x and y axes are perpendicular and the body is planar, we can apply perpendicular axis theorem i.e. Iz = Ix + Iy. Or you can find the distance from z axis and then use that distance to find moment of inertia.

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