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| 1. |
The distance of centre of mass of uniform circular disc of radius R, from the geometric centre on the axis of symmetry is |
| Answer» OU have to need to me the FACT that the centre of MAN of an uniform semi-circular circular ring of radius r lies at a vertical distance of place on π2R axis on the centre. By symmetry the x− coordinate of centre of man is =0x un =0Now, we have to need to be certain things to find Y un . At a vertical distance Y from the ORIGIN imagine U infinite i mal disk with a thickness =dRThe area of that infiniteterimal disk is dA=πRdRlet's find out it's mass,⇒dm=6dA=πRdR×CR 2 =πCR 3 dR.Y r is the position of the centroid of that dR ring and it equals = π2R . | |