Consider a cylinder with a length
(along the
-axis), radius
and the following cross section:
If the mass density of the cylinder is and a segment is sliced off the top, so that the top of the cylinder in the cross section is a chord with length , then calculate the total mass of the sliced cylinder in terms of and . If this mass can be expressed as , enter .
Note: Take the origin to be at the centre of the circular cross section, with the -axis pointing along the axis of the cylinder.
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