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A semicircular wire hs a length L and mass M. A paricle of mass m is placed at the centre of the circle. Find the gravitational attrction on the particle due to the wire. |
Answer» Correct Answer - B In the semicircle, we can consider a small element `dtheta` then mass of `R/dtheta=(M/L)Rdtheta` dF=(Gmrdthetam)/(LR^2)` dF_1=2dF` `since =(2GMm)/(LR) sintheta d theta `:. F=int_0^(pi/2) (-2GMm)/(LR) sintheta d theta` =(-2GMm)/(LR) (-1)` `(2GMm)/(LR)=(2GMm)/(LL/pi)` =(2piGMm)/L^2` |
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