A spring with spring constant k = 20.6 N/m is connected to a mass (m = 5 kg) and experiences damped harmonic motion with b = 2.94 kg/s. The initial (t = 0 s) amplitude of the oscillation is A = 0.128 m, the initial position of the mass is x(0) = 0.109 m, and d/dt x(0) < 0.
- What is the damping constant for this oscillation?
- What is the angular frequency of the oscillation?
- What is the phase constant φ?
- What is the initial value of d/dt x?
- How long will it take for the amplitude to drop to 52% of its initial value?
- What is the amplitude of oscillation at time t = 6.570 s?
- What is the position of the mass at time t = 6.570 s?
- What is the value of d/dt x at time t = 6.570 s?