2 Rods, 1 Spring

Two identical, massive rods are hinged at one end and connected together by a massless ideal spring.

If the system is in static equilibrium, what is the angle θ\theta (in degrees)?


Details and Assumptions:

  • Each rod is 1 m1 \text{ m} long and has a mass of 1 kg.1 \text{ kg}.
  • The spring constant is k=50 N/mk = 50 \text{ N/m}, and the spring's unstretched length is 1 m.1 \text{ m}.
  • The two hinges are 3 m3 \text{ m} apart horizontally.
  • The strength of gravity is 10 m/s210 \text{ m/s}^2 in the downward, vertical direction.

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