A 2 kg particle has xy coordinates -1.2m, 0.5m), and a 4 kgparticle has xy coord

Question

A 2 kg particle has xy coordinates -1.2m, 0.5m), and a 4 kgparticle has xy coordinates(0.6m, -0.75m). Both lie ona horizontal plane. At what (a) x and (b) y coordinates mustyou place a 3 kg particle such that the center of mass of thethree-particle system has the coordinates(-0.5m,-0.7m)? Thanks. A 2 kg particle has xy coordinates -1.2m, 0.5m), and a 4 kgparticle has xy coordinates(0.6m, -0.75m). Both lie ona horizontal plane. At what (a) x and (b) y coordinates mustyou place a 3 kg particle such that the center of mass of thethree-particle system has the coordinates(-0.5m,-0.7m)? Thanks.

Explanation / Answer

(XCM,YCM)=((m1x1+m2x2+m3x3)/(m1+m2+m3),(m1y1+m2y2+m3y3)/(m1+m2+m3)) (-0.5,-0.7)=((2*-1.2+4*0.6+3*x)/(2+4+3),(2*0.5+4*-0.75+3*x)/(2+4+3)), x=-1.5m y=-2.1m Hence we get by it.

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