Unformatted text preview: function σ ( x ) = x19. Find the center of mass. This is the same as the previous example except that the beam has been moved. Note that the density at the left end is 2019 = 1 and at the right end is 3019 = 11, as before. Hence the center of mass must be at approximately 20 + 6 . 39 = 26 . 39. Let’s see how the calculation works out. M = Z 30 20 x ( x19) dx = Z 30 20 x 219 x dx = x 3 319 x 2 2 ﬂ ﬂ ﬂ ﬂ 30 20 = 4750 3 M = Z 30 20 x19 dx = x 2 219 x ﬂ ﬂ ﬂ ﬂ 30 20 = 60 M M = 4750 3 1 60 = 475 18 ≈ 26 . 39 ....
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 Spring '07
 JonathanRogawski
 Math, Calculus, probability density function, Fundamental physics concepts, dx, Sexagesimal

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