Question

Three small but dense objects are located in the x-y plane as shown in the figure. The objects have the following masses: m_A = 3.77 kg, m_B = 2.91 kg and m_C = 1.77 kg.

2 : A x (m)

Determine the x and the y coordinates of the center of the mass of this system. All three objects are small in size, they can be treated as point masses.

Answer 1

Ans =

Center of mass with respect to origin = ( m1x1 + m2x2 +m3x3)/ (m1+m2+m3)

x coordinate = (3.77(2) + 2.91(6) + 1.77(4)) / (3.77+2.91+1.77)

= 3.8 m

y coordinate = (3.77(2) + 2.91(3) + 1.77(8)) / (3.77+2.91+1.77)

= 3.6

COM = (3.8, 3.6)