Four masses are at corners of a rectangle connected by massless
rods as shown in Figure 0.27.
(i) What is the moment of inertia of the system when the axis of
rotation is along the x-axis?
(ii) What is the moment of inertia of the system when the axis
of rotation is along the y-axis?
(iIi) What is the moment of inertia of the system when the axis of
rotation goes through point O and is perpendicular to the
xy-plane.
apply from the formula of moment of inertia I =
mr^2
for the system shown here
apply accordingly
moment of inertia of a point mass about an axis = m
R^2
about x axis, I = 4 *3^2 + 3 *3^2 + 6 * 3^2 + 1 * 3^2
I = = 126 kg m^2
----------------------------------
B) about y, I = 4 *2^2 + 3 *2^2 + 6 *2^2 + 1*2^2
I = 56 kg m^2
-------------------------
C) Using perpendicular axis theorem, Ixy = Ix + Iy
Ixy = 126 + 56 = 182 kg m^2
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