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Force on an Axis of Rotation
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Two masses, m₁ and m₂, are connected by a massless rod of length L. The system rotates at a constant angular velocity ω about an axis perpendicular to the rod and passing through m₁. If m₂ = 3m₁, what external force must be applied to m₁ to keep the system in translational equilibrium?

A

3m₁ω²L directed toward m₂

B

3m₁ω²L directed away from m₂

C

4m₁ω²L directed away from m₂

D

m₁ω²L directed away from m₂

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