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Consider a flywheel that is free to rotate about an axis. A linear spring, k, is attached at some radius r, as shown bel
Posted: Sat May 21, 2022 8:16 am
by answerhappygod
- Consider A Flywheel That Is Free To Rotate About An Axis A Linear Spring K Is Attached At Some Radius R As Shown Bel 1 (281.41 KiB) Viewed 16 times
Consider a flywheel that is free to rotate about an axis. A linear spring, k, is attached at some radius r, as shown below. The moment of inertia of the flywheel is I. If disturbed from equilibrium we can assume it makes small angular oscillations and thus has an angular acceleration, a. 0 10 k= 5 N/m, r = .050 m. The mass of disc is 4 kg and its diameter 200 mm. (a) Derive the equation of motion for the system using Lagrange method. (b) What is the natural frequency of the system. (c) What is the equivalent mass of the disc at radius r. (8 marks) (2 marks) (2 marks) (d) The system can be modelled as a spring mass system, stiffness k and mass me, determine the mass of a resonant vibration absorber if the stiffness of the absorber is to be 10 N/m. (3 marks) (e) What are the natural frequencies of the now, 2DOF system. (5 marks)