Physics

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Find the location of the center of mass for a one-dimensional rod of length L and of linear density ë(x) = cx, where c is a constant. (Hint: You will need to calculate the mass in terms of c and L. Use any variable or symbol stated above as necessary.)
X =

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    total mass*cm=INT density*x*dx=int cx2 cx= 1/3 c x^3= 1/3 cL^3

    but total mass= INT denstiy dx= 1/2 cL^2

    cm= 2/3 L measured from the low mass end.

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