[tex]F_{max} - F_{n \ max} = m_1a\\F_{n \ max}=m_2a\\------------ \ \ (dzielimy \ obustronnie)\\\\\frac{F_{max}}{F_{n \ max}} - \frac{F_{n \ max}}{F_{n \ max}} = \frac{m_1}{m_2}\\\\\frac{F_{max}}{F_{n \ max}} - 1 =\frac{m_1}{m_2}\\\\\frac{F_{max}}{F_{n \ max}} = \frac{m_1}{m_2}+1 \ \ /\cdot F_{n \ max}\\\\F_{max} = F_{n \ max}(\frac{m_1}{m_2}+1)[/tex]