Mathematics, 01.10.2019 02:00 starburst2005
Calculate the moments mx, my, and the center of mass (x bar, y bar) of a lamina with the given density p=5 and the shape:
Answers: 1
![M x = 1/2 * 5 \int\limits^1_{-1} (- x^{2} -3)\, dx= \\ =-5/2 * [ x^{3}/3 + 3 x]^1 _{-1} = \\ =-5/2 * (1/3+3+1/3+3)=](/tpl/images/0278/3253/06c2d.png)
![M = 5 * \int\limits^1_{-1} { (\sqrt{1+ x^{2} }+2)} \, dx = \\ =5* [1/2 \sqrt{1+ x^{2} } *x + 2 x + 1/2 *sinh ^{-1} x]^1_{-1}](/tpl/images/0278/3253/5c1a2.png)
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Calculate the moments mx, my, and the center of mass (x bar, y bar) of a lamina with the given densi...
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