Three particles of masses $$1$$ kg, $$2$$ kg, and $$3$$ kg are located the vertices of an equilateral triangle of side a. The x, y coordinates of the centre of mass are

Question

Infinity Learn · Accepted Answer

Let the masses $$1$$ kg,  $$2$$ kg and $$3$$ kg are located at the vertices A, B and C as shown in figure above. The coordinates of points A, B and C are (0$$, $$0), (a$$, $$0), (a2$$, $$3a2) respectively.The coordinates of centre of mass areXCM $$=$$ $$m1x1+m2x2+m3x3m1+m2+m3$$         $$=$$ [$$1$$×$$0+2$$×$$a+3$$×$$a2$$][$$1+3+2$$] $$=$$ $$7a12YCM$$ $$=$$ $$m1+y1+m2y2+m3y3m1+m2+m3$$      $$=$$ [$$1$$×$$0+2$$×$$0+3$$×$$3a2$$][$$1+3+2$$] $$=$$ $$3a4$$

Three particles of masses 1 kg, 2 kg, and 3 kg are located the vertices of an equilateral triangle of side a. The x, y coordinates of the centre of mass are

Unlock the full solution & master the concept.

Ready to Test Your Skills?

free study material