posted by .

Four very thin rods, each 8.3 m long, are joined to form a square. The center of mass of the square is located at the coordinate origin. The rod on the right is then removed. What are the x- and y-coordinates of the center of mass of the remaining three-rod system?

I have no idea how to approach this.

The center of mass of the upper rod is at (x1,y1) =(0, 4.15)
The center of mass of the left rod is at (x2,y2) =(- 4.15, 0)
The center of mass of the lower rod is at (x3,y3) =(0, - 4.15)
L = 8.3 m

Coordinates of the center of mass of the 3-rod-system are
x =(x1•L +x2•L+x3•L)/3•L =
=(0•L-4.15•L+0•L)/3•L =
= -4.15/3 =1.38 m,
y =(y1•L +y2•L+y3•L)/3•L =
=(4.15•L + 0•L - 4.15•L)/3•L = 0.

## Similar Questions

1. ### physic

An aluminum rod is 10.0 cm long and a steel rod is 80.0 cm long when both rods are at a temperature of15 degrees cel. Both rods have the same diameter. The rods are joined end-to-end to form a rod 90.0 cm long. The coefficients of …
2. ### physics

Four very thin rods, each 5.9 m long, are joined to form a square, as part (a) of the drawing shows. The center of mass of the square is located at the coordinate origin. The rod on the right is then removed, as shown in part (b) of …
3. ### physics

three uniform thin rods, each of length L = 16 cm, form an inverted U. The vertical rods each have mass of 14 g; the horizontal rod has mass of 50 g. Where is the center of mass of the assembly (x, y)?
4. ### physics

Three uniform thin rods, each of length L = 16 cm, form an inverted U. The vertical rods each have mass of 14 g; the horizontal rod has mass of 50 g. Where is the center of mass of the assembly (x, y)?
5. ### Physics

Three uniform thin rods, each of length L = 16 cm, form an inverted U. The vertical rods each have mass of 14 g; the horizontal rod has mass of 50 g. Where is the center of mass of the assembly (x, y)?
6. ### Physics !>:(

Four masses are connected by 27.1cm long, massless, rigid rods. If massA=237.0g, massB=511.0g, massC=257.0g, and massD=517.0g, what are the coordinates of the center of mass if the origin is located at mass A?
7. ### Physics HELP!!

Four masses are connected by 27.1cm long, massless, rigid rods. If massA=237.0g, massB=511.0g, massC=257.0g, and massD=517.0g, what are the coordinates of the center of mass if the origin is located at mass A?