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3. (20 pts) A mass of 2 kg is hung from a string to make a simple pendulum. The mass is displaced by a small

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3. (20 pts) A mass of 2 kg is hung from a string to make a simple pendulum. The mass is displaced by a small angle and then released. Due to air resistance, which is proportional to velocity (Fd : bo), the oscillations slowly damp down. The pendulum oscillates 50 times in 100 s. After that time, the amplitude of the oscillation is 1/8 of its initial value. (a) What is the angular frequency? (b) What is b? (c) What is the length of the pendulum? (d) What is

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