Question

Four point masses are placed at the corners of a square of side 2m

Answer 1

Hello..here's the expected ans

Answer 2

The question is incomplete. Here is the complete question:

Four point masses are placed at the corners of a square of side 2m. Find the center of mass of the system to the center of square. The masses of objects placed are 1kg,2kg,3kg and 4kg

Answer:

Let O is the center of the square.

A,B,C,D are the courses of the square.

A = 1kg

B = 2kg

C = 3kg

D = 4kg

The coordinates will be = (1,1)

B has coordinates = (-1,1)

C = (-1,-1)

D = (1,-1)

We know that it is being moved in the anti clockwise direction.

x base cm = m₁x₁ + m₂x₂ +m₃x₃ +m₄x₄ / m₁ +m₂ +m₃ +m₄

x base cm = 1-2-3+4 / 1 + 2 + 3 + 4 = 0

Now we will see the y coordinates of the center of mass:

y base cm = m₁y₁ + m₂y₂ +m₃y₃ +m₄y₄ / m₁ +m₂ +m₃ +m₄

y base cm = 1 +2 - 3 - 4/1 + 2 + 3 + 4 = -0.4

The coordinates will be = (0, - 0.4)