The linear mass density of a thin rod is given by p = cVx, where c is a constant with appropriate units and x is the distance measured from the origin. If the rod is of length L, find (a) the center of mass of the rod with respect to origin. (b) the moment of inertia about an axis parallel to the y-axis and passing through the origin of the rod as shown in the figure. y
The linear mass density of a thin rod is given by p = cVx, where c is a constant with appropriate units and x is the distance measured from the origin. If the rod is of length L, find (a) the center of mass of the rod with respect to origin. (b) the moment of inertia about an axis parallel to the y-axis and passing through the origin of the rod as shown in the figure. y
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Transcribed Image Text:The linear mass density of a thin rod is given by p = cVx, where c is a constant
with appropriate units and x is the distance measured from the origin. If the rod is
of length L, find
(a) the center of mass of the rod with respect to origin.
(b) the moment of inertia about an axis parallel to the y-axis and passing through
the origin of the rod as shown in the figure.
y
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