a cubical box has edges of length 40cm with an open top.(adsbygoogle = window.adsbygoogle || []).push({});

Find the x, y, z coordinates of The Centre Of Mass

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in my head I cut the box along the x axis to get this

(let m = the mass of one side of the box)

[tex]COMx=\frac{1}{M}\times(m1x1 + m2x2)[/tex]

[tex]COMx=\frac{1}{5M}(2.5M\times 40cm)+(2.5M\times 0cm)[/tex]

[tex]COMx=20cm[/tex]

[tex]COMy=(2a\times 40cm)+(3M\times 0)[/tex]

[tex]COMy=16cm[/tex]

[tex]COMz=\frac{1}{5M}(2.5M\times 40cm)+(2.5M\times 0cm)[/tex]

[tex]COMz=20cm[/tex]

Therefore [tex]COM=(20cm,16cm,20cm)[/tex]

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# Does tHis Make Sence?

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