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 \(\theta\) (in degrees)?

Details and Assumptions:

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


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