(b) Find the location of the center of mass of the bar, Xcm. (Hint: Your answer should be given in terms of a number, which you find, times L. To get this use the expression found in (a) above.)
(b) Find the location of the center of mass of the bar, Xcm. (Hint: Your answer should be given in terms of a number, which you find, times L. To get this use the expression found in (a) above.)
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Solve both A and B part
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Transcribed Image Text:(b)
Find the location of the center of mass of the bar, X. (Hint: Your answer should be
given in terms of a number, which you find, times L. To get this use the expression found in (a)
above.)
Transcribed Image Text:CENTER OF MASS Variable Linear Density (x) kg/meter
7. Consider a bar of metal alloy of total length L and cross section A. The distribution of mass in
the bar is described by a mass density function, 2(x)
2(x) = 20 (2x¹/L²) kg/m where the variable x is in meters (0≤x≤L)
(Thus, density at the x-0 begins at 22, kg/m and decreases to 2, kg/m at x = L.)
(a)( Find an expression for the total mass, M, of the bar, in terms of 2, and L.
X=0
dm
dx
<--- X --->
x=L
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