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Problem 1: Consider a damped, driven oscillator (e.g., a spring attached to a wall with a standard damping of the form Fd=-bv) where the mass
Problem 1: Consider a damped, driven oscillator (e.g., a spring attached to a wall with a standard damping of the form Fd=-bv) where the mass (m=1kg) experiences an applied force F(t)=Fucos(cot + (p). The mass is at rest at its equilibrium position (x=0) when the force is \"turned on\". In the figure below is shown the resulting motion, x(t) versus time. You may assume light damping. Use this figure to get estimates of the following: (a) The natural frequency of the undamped system in Hz. (b) The damping coefficient b (remember to include standard units). (c) The driving frequency in Hz (d) The amplitude of the driving force (FD). (e) What is tp? Displacement (m) Time (s)
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