Three 88.2 gram masses are connected in a triangular shape by massless rigid wir

Question

Three 88.2 gram masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters. Find the x and y coordinates of the center of mass of the triangular object.

Three 88.2 gram masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters. Find the x and y coordinates of the center of mass of the triangular object. Two more 88.2 gram masses are connected by a straight piece of wire and affixed to the original configuration as shown. Find the x and y coordinates of the new center of mass of the combined object.

Explanation / Answer

for finding the com

Xcom = (m1 *x1 + ...)/(m1 + m2 + ..)

and

Ycom = (m1 * y1 + ..)/(m1 + m2 + ..)

in case I ,

Xcom = ( m*14.2 + 17.3* m )/3m

Xcom = 10.5 cm

and

Ycom = (21.5 * m + m*15.4)/(3m)

Ycom = 12.3 cm

the corrdinates of centre of mass is case I is (10.5 , 12.3 ) cm

Now , in case II

Xcom = ( m*14.2 + 17.3* m )/5m

Xocm = 6.3 cm

Ycom = (21.5 * m + m*15.4 - 35.7m + 35.7m )/(5m)

Ycom = 7.38 cm

the corrdinates of centre of mass is case II is (6.3 , 7.38 ) cm

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