Set-up the integral that gives the center of mass of a rod that is 10 ft long such that the measure of the linear density at a point is a linear function of the measure of the distance of the point from the right endpoint of the rod. The linear density at the left endpoint of the rod is 5 slugs/ft and at the center the linear density is 3.5 slugs/ft.
Set-up the integral that gives the center of mass of a rod that is 10 ft long such that the measure of the linear density at a point is a linear function of the measure of the distance of the point from the right endpoint of the rod. The linear density at the left endpoint of the rod is 5 slugs/ft and at the center the linear density is 3.5 slugs/ft.
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Center of a mass of a rod
Transcribed Image Text:Set-up the integral that gives the center of mass of a rod that is 10 ft long such that the measure
of the linear density at a point is a linear function of the measure of the distance of the point from the right
endpoint of the rod. The linear density at the left endpoint of the rod is 5 slugs/ft and at the center the
linear density is 3.5 slugs/ft.
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