A drum major's baton consists of two masses \(m_1 \) and \( m_2\) separated by a thin rod of length l. The baton is thrown into the air. If the external force on the baton is given by

F = m1 g + m2 g , what is the equation of motion for the center of mass of the baton?

1
\((m_1 -m_2) \vec{\ddot R} = (m_1 + m_2) g\)
2
\( (m_1 + m_2) \vec{\ddot R} = m_1g - m_2g\)
3
\(\vec{\ddot R} = g\)
4
\(\vec{\ddot R} =\frac{m_1}{m_2}g\)
5
None of these

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