8. A cylinder of mass m and radius r is free to roll without slipping but is restrained by two springs of stiffness k, a
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8. A cylinder of mass m and radius r is free to roll without slipping but is restrained by two springs of stiffness k, a
8. A cylinder of mass m and radius r is free to roll without slipping but is restrained by two springs of stiffness k, as shown in Figure 5. Assume small angles. 00 k farine S HT W C x(t) mass Figure 5: Cylinder rolling on a surface restrained by two springs (a) Find the equation of motion for the system using an energy approach. (b) Find its natural frequency of vibration. (c) Find the value of a that maximizes the natural frequency of vibration.
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