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what are their speeds as the rod swings through a vertical position?

A wooden rod of negligible mass and length 88.0 cm is pivoted about a horizontal axis through its center. A white rat with mass 0.700 kg clings to one end of the stick, and a mouse with mass 0.300 kg clings to the other end. The system is released from rest with the rod horizontal. If the animals can manage to hold on, what are their speeds as the rod swings through a vertical position?

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2. assume, horizontal axis at middle of the rod, For negligible mass or rod, kinetic energy consist of translation kinetic energy (½ m V²) and rotational kinetic energy (½ I ω²), where I is moment inertia of system (M r²) and angular velocity ω = V/r ΔE = 0 m₂ g (½ L) - m₁ g (½ L) - ½ (m₁ + m₂) V² - ½ m₁ (½ L)² (V/(½ L))² - ½ m₂ (½ L)² (V/(½ L))² = 0 (0.7) (9.8) (½ * 0.88) - (0.3) (9.8) (½ * 0.88) - ½ (0.7 + 0.3) V² - ½ (0.3) (½ * 0.88)² (V/(½ * 0.88))² - ½ (0.7) (½ * 0.88)² (V/(½ * 0.88))² = 0 V = 1.313 m/s