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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.

Mudit Sharma , 14 Years ago
Grade 12
anser 1 Answers
Pramod J AskiitiansExpert-IIT-B

Last Activity: 14 Years ago

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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