Question

100kg (0, +10.0) 10.0,0) G+100,0)() 10,) (+10.0,0) 50kg(0,0) 50.0kg 80.0kg

Find the coordinates of the center of mass of the system of masses illustrated in the diagram below.?

Answer 1

m1 = 50 kg , (x1,y1) =(-10,0)

m2 =50 kg , (x2,y2) =(0, 0)

m3 =100 kg , (x3,y3)= (0,10)

m4 = 80 kg , (x4,y4) =(10,0)

X coordinate of Center mass Xcm = (m1x1+m2x2+m3x3+m4x4)/(m1+m2+m3+m4)

Xcm = (-50*10+50*0+100*0+80*10)/(50+50+100+80)

Xcm =1.07 cm

Y coordinate of Center mass Xcm = (m1y1+m2y2+m3y3+m4y4)/(m1+m2+m3+m4)

Ycm = (50*0+50*0+100*10+80*0)/(50+50+100+80)

Ycm =3.57 cm