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Figure shows a composite body made up by welding a thin rod (of mass m and length r) normally at the centre P of a thin semicircular disc (of mass m and radius r). What are corrdinates of centre of mass of the system ? A. (0, 0)B. `[(r )/(2), (2r)/(3)]`C. `[r, ((2r)/(3pi) + (r )/(4))]`D. `[r, ((2r)/(3pi) - (r )/(4))]` |
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Answer» Correct Answer - D `y_(COM) = (m_(1)vec(y)_(1) + m_(2) vec(y)_(2))/((m_(1) + m_(2)))` `= (m xx (4r)/(3pi) + m (-(r )/(2)))/(m + m)` `y_(COM) = ((2r)/(3pi) - (r )/(4))` `x_(COM) = r` |
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