How Do You Balance Objects on a Uniform Board to Maintain Equilibrium?

[srekai]

frfr1. Homework Statement
A 15 kg uniform wooden board of length L is balanced at its center. A 6 kg object is to be placed on the right end. How far from the balance point must a 9 kg object be placed to keep the board in equilibrium?

Homework Equations

$m_1d_1 = m_2d_2$

The Attempt at a Solution

Is it just $6 \frac{L}{2} = 9 d_2$
$d_2 = \frac{L}{3}$? I guess I am not sure since they mention the weight of the wooden board, but since it is uniformly distributed, its weight shouldn't matter?

 

[tnich]

frfr1. Homework Statement
A 15 kg uniform wooden board of length L is balanced at its center. A 6 kg object is to be placed on the right end. How far from the balance point must a 9 kg object be placed to keep the board in equilibrium?

Homework Equations

$m_1d_1 = m_2d_2$

The Attempt at a Solution

Is it just $6 \frac{L}{2} = 9 d_2$
$d_2 = \frac{L}{3}$? I guess I am not sure since they mention the weight of the wooden board, but since it is uniformly distributed, its weight shouldn't matter?

You are right, and I like that you have recognized that the mass of the board does not affect the answer.