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phy131studiof15:lectures:chapter10 [2015/09/24 21:10]
mdawber [Rockets]
phy131studiof15:lectures:chapter10 [2015/09/28 09:10] (current)
mdawber [A thin uniform plate]
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 $\vec{x}_{CM}=\frac{1}{M}\int x\,​dm=\frac{1}{M}\int_{0}^{l}\int_{0}^{w}\rho_{A}x\,​dy\,​dx=\frac{1}{M}\frac{1}{2}\rho_{A}l^{2}w=\frac{l}{2}\hat{i}$ $\vec{x}_{CM}=\frac{1}{M}\int x\,​dm=\frac{1}{M}\int_{0}^{l}\int_{0}^{w}\rho_{A}x\,​dy\,​dx=\frac{1}{M}\frac{1}{2}\rho_{A}l^{2}w=\frac{l}{2}\hat{i}$
  
-$\vec{y}_{CM}=\frac{1}{M}\int y\,​dm=\frac{1}{M}\int_{0}^{l}\int_{0}^{w}\rho_{A}y\,​dy\,​dx=\frac{1}{M}\frac{w}{2}\rho_{A}l^{2}l=\frac{w}{2}\hat{j}$+$\vec{y}_{CM}=\frac{1}{M}\int y\,​dm=\frac{1}{M}\int_{0}^{l}\int_{0}^{w}\rho_{A}y\,​dy\,​dx=\frac{1}{M}\frac{1}{2}\rho_{A}w^{2}l=\frac{w}{2}\hat{j}$
  
  
phy131studiof15/lectures/chapter10.txt ยท Last modified: 2015/09/28 09:10 by mdawber
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