Question

three point masses of 1g 2g and 3g lie in the X-Y plane at respective points (1 ,2),(0,-1)and (2,-3). find the coordinate of the center of mass of the system

Answer 1

m₁ = 1 g  , x₁ = 1 , y₁ = 2

m₂ = 2 g , x₂ = 0 , y₂ = - 1

m₃ = 3 g , x₃ = 2 , y₃ = -3

x-coordinate of center of mass is given as

x = (m₁ x₁ + m₂ x₂ + m₃ x₃  )/(m₁ + m₂ + m₃)

x = ((1) (1) + (2) (0) + (3) (2)  )/(1 + 2 + 3) = 1.2

y-coordinate of center of mass is given as

y = (m₁ y₁ + m₂ y₂ + m₃ y₃  )/(m₁ + m₂ + m₃)

y = ((1) (2) + (2) (-1) + (3) (-3)  )/(1 + 2 + 3) = - 1.5

so coordinate of center of mass is (1.2 , - 1.5)

Answer 2

Answer:

Answer is 7/6,-3/2

I hope it helps you.