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A uniform thin metal plate of mass 10 kg with dimensions is shown. The ratio of x and y coordinates of center of mass of plate is n9. The value of n is . [figure]
15
[figure]
For a uniform plate mass area, so take the full rectangle minus the cut square.
xcm = 1.5 (symmetric about x = 1.5)
ycm = A1y1 - A2y2A1 - A2 = 6 1 - 1 1.56 - 1 = 0.9
xcmycm = 1.50.9 = 159 n = 15
Answer: 15
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