- #1
naianator
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Homework Statement
The attached diagram shows a uniform density hollow cylindrical shell with a solid bottom and an open top. It has radius R and height h.
Find the height for the center of mass of this cylinder, taking the origin of the coordinate system at the center of the bottom. Use "pi" for π.
Homework Equations
x_cm=m_1x_1+m_2x_2+m_3x_3/m_1+m_2+m_3
The Attempt at a Solution
I'm not even really sure how to start but I tried this
If the top wasn't missing then the cylinder would have a center of mass at h/2 and the missing top has a center of mass at h so
CM = (h/2*(2*pi*R*h+2*pi*R^2)-h*pi*R^2)/2*pi*R*h+2*pi*R^2-pi*R^2
= pi*R*h^2/2*pi*R*h-pi*R^2