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2. A 2.5-kg block is attached to a light string of length 1.7 m. The mass moves through a fluid with a resistive force proportional to the angular speed of the pendulum. The damping constant is b = 1.4 m/s. The mass is released from rest at time t = 0 when the angle to the vertical is 10.0°. Assume the angle is small enough that the motion is harmonic. a. Calculate the period of the motion. b. Write the equation of motion, 0(t). c. Calculate the time when the amplitude is 60% of its maximum value. d. Calculate the angular displacement of the mass from equilibrium at the time calculated in part c. e. Is this an example of a critically damped, overdamped, or underdamped system? Explain.

2. A 2.5-kg block is attached to a light string of length 1.7 m. The mass moves through a fluid with a resistive force proportional to the angular speed of the pendulum. The damping constant is b = 1.4 m/s. The mass is released from rest at time t = 0 when the angle to the vertical is 10.0°. Assume the angle is small enough that the motion is harmonic. a. Calculate the period of the motion. b. Write the equation of motion, 0(t). c. Calculate the time when the amplitude is 60% of its maximum value. d. Calculate the angular displacement of the mass from equilibrium at the time calculated in part c. e. Is this an example of a critically damped, overdamped, or underdamped system? Explain.

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2. A 2.5-kg block is attached to a light string of length 1.7 m. The mass moves through a fluid with a resistive force proportional to the angular speed of the pendulum. The damping constant is b = 1.4 m/s. The mass is released from rest at time t = 0 when the angle to the vertical is 10.0°. Assume the angle is small enough that the motion is harmonic. a. Calculate the period of the motion. b. Write the equation of motion, 0(t). c. Calculate the time when the amplitude is 60% of its maximum value. d. Calculate the angular displacement of the mass from equilibrium at the time calculated in part c. e. Is this an example of a critically damped, overdamped, or underdamped system? Explain.
Transcribed Image Text:2. A 2.5-kg block is attached to a light string of length 1.7 m. The mass moves through a fluid with a resistive force proportional to the angular speed of the pendulum. The damping constant is b = 1.4 m/s. The mass is released from rest at time t = 0 when the angle to the vertical is 10.0°. Assume the angle is small enough that the motion is harmonic. a. Calculate the period of the motion. b. Write the equation of motion, 0(t). c. Calculate the time when the amplitude is 60% of its maximum value. d. Calculate the angular displacement of the mass from equilibrium at the time calculated in part c. e. Is this an example of a critically damped, overdamped, or underdamped system? Explain.
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