For the outlined sphere model of a water molecule consisting of two small spheres with the mass m= 3 g and one large sphere with the mass M=16-m, the moments of inertia are to be calculated in relation to the mutually perpendicular axes of rotationx, y and z. The z axis is perpendicular to the plane of the drawing and, like the x axis and the y axis, should run through the center of mass of the sphere model. The connections drawn in blue should have no mass, and the spheres should be assumed to have point masses

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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For the outlined sphere model of a water molecule
consisting of two small spheres with the mass m= 3
g and one large sphere with the mass M=16m, the
moments of inertia are to be calculated in relation
to the mutually perpendicular axes of rotation x, y
and z. The z axis is perpendicular to the plane of
the drawing and, like the x axis and the y axis,
should run through the center of mass of the
sphere model. The connections drawn in blue
should have no mass, and the spheres should be
assumed to have point masses
Transcribed Image Text:For the outlined sphere model of a water molecule consisting of two small spheres with the mass m= 3 g and one large sphere with the mass M=16m, the moments of inertia are to be calculated in relation to the mutually perpendicular axes of rotation x, y and z. The z axis is perpendicular to the plane of the drawing and, like the x axis and the y axis, should run through the center of mass of the sphere model. The connections drawn in blue should have no mass, and the spheres should be assumed to have point masses
m
М 316-m
m
a) State where the center of mass of the sphere
model is located (e.g. relative to the position of the
large, red sphere).
b) Calculate the moments of inertia related to the
x-, the y- and the z-axis, all through the mean-of-
mass-
should run point.
2 cm
3,2 cm
Transcribed Image Text:m М 316-m m a) State where the center of mass of the sphere model is located (e.g. relative to the position of the large, red sphere). b) Calculate the moments of inertia related to the x-, the y- and the z-axis, all through the mean-of- mass- should run point. 2 cm 3,2 cm
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