Vibrations - Modeling system, equation of motion

AI Thread Summary
The discussion focuses on modeling a system involving multiple masses and a spring to derive the equation of motion. The angle θ significantly influences the spring's displacement, and the masses are fixed on rods that can rotate around a pivot point. Participants clarify that the system can be approximated for small oscillations, allowing the use of angular motion equations. The conversation emphasizes the importance of understanding torque and angular acceleration in relation to the restoring forces acting on the system. Ultimately, the goal is to express the natural frequency of the system, which involves considering the contributions of all masses to the moment of inertia and the effective spring constant.
  • #51
haruspex said:
No, you misunderstand.
According to the graph, you need a peak at ωt=0.9. What value of Φ maximises Acos(0.9 + Φ)?
Oh, is it for Φ=-0.9, becuase cos(0) is the maximum value you can get?
 
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  • #52
thepikminman said:
Oh, is it for Φ=-0.9, becuase cos(0) is the maximum value you can get?
Yes.
 
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