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Q. A semi-circular disc has a variable mass distribution varying as s=(s0)sinx where (s0) is the areal mass density(initial) and x is the angle with the radius. If the radius of the dic is R. FInd its Center of mass. Q. A semi-circular disc has a variable mass distribution varying as s=(s0)sinx where (s0) is the areal mass density(initial) and x is the angle with the radius. If the radius of the dic is R. FInd its Center of mass.
Dear student, due to symmetry x coordinate is 0 r of C.M = int{r*dm}/M = int{r*s0sinx*r^2dx}/M (x varies from 0 to 9) r is same as y since x coordinate is 0
Dear student,
due to symmetry x coordinate is 0
r of C.M = int{r*dm}/M
= int{r*s0sinx*r^2dx}/M (x varies from 0 to 9)
r is same as y since x coordinate is 0
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