To determine where to place a 2 kg mass on the left side of a balance to level it, we need to know the distance of the right mass from the fulcrum and the mass of that weight.
Let's assume the following:
- The mass on the right side (\(m_r\)) is denoted as \(m_r\).
- The distance from the fulcrum to the right mass is denoted as \(d_r\).
- The mass on the left side (\(m_l\)) is 2 kg.
- The distance from the fulcrum to the left mass is denoted as \(d_l\).
The balance will be level when the moments about the fulcrum are equal. This can be expressed with the following equation:
\[ m_r \cdot d_r = m_l \cdot d_l \]
Given \(m_l = 2 , \text{kg}\), we rearrange the equation to find \(d_l\):
\[ d_l = \frac{m_r \cdot d_r}{m_l} \]
To proceed, you must provide the specific values of \(m_r\) and \(d_r\). Once you have those values, you can calculate \(d_l\) to find the distance where the 2 kg mass should be placed on the left side of the balance to make it level.