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  3. problem 3 consider the system shown in the figure assume...

Question: problem 3 consider the system shown in the figure assume...

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Problem 3. Consider the system shown in the figure. Assume the spring stays horizontal the and it is at its natural length when the pendulum is in the straight-down position ts natural length when thepen 1. Write down the Newtons law for rotational motion around the point o and derive the differential equation that governs the oscillation of the pendulum. Note that the inertial moment of the pendulum about the point o is m 2. Assuming that the oscillation amplitude is small, linearize the equation and com- pute the natural frequency of the system picture. in terms of parameters given in the θ and cos θ (Hint: If θ is small, you can use sin θ 1) 2 3

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