# physics! center of mass

posted by .

a long non uniform board of length 8 m and mass m = 12 kg is suspended by two ropes if the tensions in the ropes are mg/3 (on left) and 2mg/3 (on right) what is the location of the board's center of mass

thank you!

• physics! center of mass -

cg at x from left
then cg is at (8-x) from right

(mg/3) (x) = (2 mg/3 )(8-x)

x = 16 - 2x
3 x = 16
x = 16/3

## Similar Questions

1. ### physics

a person whos mass is 102 kg stands on a beam supported by two ropes , A and B, he is standing on one foot to help you solve this problem.what is the tension of the two ropes?
2. ### physics

The two angled ropes used to support the crate in the figure below an withstand a maximum tension of 1300 N before they break. The left angle is 30dregres, and the right angle is 45degrees. What is the largest mass the ropes can support?
3. ### physics! center of mass

a long non uniform board of length 8 m and mass m = 12 kg is suspended by two ropes if the tensions in the ropes are mg/3 (on left) and 2mg/3 (on right) what is the location of the board's center of mass thank you!
4. ### physics

A 70 kg painter is painting the wall of a building. He stands on a horizontal board of length 4.7 m and mass 15 kg, suspended from vertical ropes attached to each end. If the painter stands 2.0 m from one end of the board, what would …
5. ### physics

Suppose 2 balls of same mass are held by 4 ropes, 2 for each ball. One ball is held by 2 ropes fastened at same height to something and the other at different heights. If the angles made by each respective pair of ropes(eg. right to …
6. ### physics

A NON-UNIFORM board of length L and mass M has a center of mass at 5/6L. If the fulcrum is placed at the center of the board and a block of mass m is placed at the right of the board, then where must a block of mass 3m be placed to …
7. ### Calculus- Vectors

I've come across this math problem and need help on working it out. Ropes 3 m and 5 m in length are fastened to a holiday decoration that is suspended over a town square. The decoration has a mass of 5 kg. The ropes, fastened at different …
8. ### Physics

Massless ropes A, B, C are connected together as shown and support a mass of 100 kg. Rope A is horizontal and ties to the wall, rope b is tied to the ceiling and rope c is vertical. What are the tensions in the ropes.
9. ### physics

A basket weighing 0.3kg is suspended from two ropes which are tied to a horizontal beam. The rope on the left is at an angle of 63° and the rope on the right is at an angle of 32° with respect to the beam. What mass of rocks could …
10. ### physics

a 200 N wooden platform is suspended from the roof of the house by ropes attached to it's ends. it has a total length of 4.2 meters. a painter weighing 650 N stands from the left end of the platform. find the tension in each end of …

More Similar Questions