Coupled pendulums connected with a spring (spring constant D). Distance from the suspension to the spring 1, rest position 1 = 42 = 0 1) Determine Lagrangian equation and the equations of motion for small deflections - 2) Solve the equations of motion for the cases m₁ = m₂ = m and l₁ = 1₂ = 10. (Hint: For this calculate the normal mode and determine the general solution. Determine the solution for the initial conditions: ₁(0) = 0, 42(0) = ₁(0) = ₂(0) = 0)
Coupled pendulums connected with a spring (spring constant D). Distance from the suspension to the spring 1, rest position 1 = 42 = 0 1) Determine Lagrangian equation and the equations of motion for small deflections - 2) Solve the equations of motion for the cases m₁ = m₂ = m and l₁ = 1₂ = 10. (Hint: For this calculate the normal mode and determine the general solution. Determine the solution for the initial conditions: ₁(0) = 0, 42(0) = ₁(0) = ₂(0) = 0)
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Transcribed Image Text:Coupled pendulums connected with a spring (spring constant D).
Distance from the suspension to the spring 1, rest position 1 = 2 = 0
1) Determine Lagrangian equation and the equations of motion for small deflections
2) Solve the equations of motion for the cases m₁ = m₂ = m and l₁ = 1₂ = lo.
(Hint: For this calculate the normal mode and determine the general solution.
Determine the solution for the initial conditions: ₁(0) = 40, 42(0) = 1(0) = 2(0) = 0)
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