# Weightless horizontal bar equilibrium

1. Nov 17, 2008

### nora00

The weightless horizontal bar in the figure below is in equilibrium. Scale B reads 4.15 kg. The distances in the figure (which is not to scale) are: D1 = 6.5 cm, D2 = 10.0 cm, and D3 = 5.0 cm. The mass of block X is 0.94 kg and the mass of block Y is 2.04 kg. Determine what the reading on scale A must be.

2. Nov 17, 2008

### tiny-tim

Welcome to PF!

Hi nora00! Welcome to PF!

You can assume that the bar is uniform, so its centre of mass is in the middle … and the readings on the scales are the normal forces … so …

Hint: take moments of the forces on the bar about some point.

3. Nov 17, 2008

### HallsofIvy

That's a very strange problem. If you were not told the reading on scale B, then it would be an interesting calculation: you would need to calculate the total "moment of inertia" about some point and set it 0, the set the total force on the bar to 0 so that you would get two equations for the two scale readings. But since you are told the reading on scale B, you can just set the total force downward equal to the total force upward and solve for the single variable, the reading on scale A. In this case the distances you give are irrelevant: 0.94+ 2.04= 4.15+ A where A is the reading on scale A.

4. Nov 17, 2008

### nora00

if u just do that then A is negative?

5. Nov 18, 2008

### tiny-tim

Hi nora00!

Always show us your calculations, so that we can see where the problem is, and know how to help.