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15. A uniform semi-circular wire of radius 1 m and unknown mass is lying in xy plane as shown. Thecoordinate of its centre of mass are (in m)options are :-1) ( 0 , 1/π )2) ( 0 , 2/π )3) ( 1/π , 0 )4) ( 2/π , 0 )plz solve it quikly , its very urgent , plz dont give wrong answers if u dont know plz plz |
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Answer» For a semicircular ring having some non zero MASS, the coordinate of CENTRE of mass when the radius is Ris X coordinate = Abcissa of the centre of the semicircular ring y-coordinate = 2R/π above the centre of the circleThis can be easily proved by using the formulay (com) = Integral of y dm/ Integral of dmwhere, dm is an infinitesinally small mass element.So,Because here the radius of the semicircular ring is 1 m.Therefore, the COORDINATES of the centre of mass of given WIRE will be(0,2(1)/π) = (0,2/π) |
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