Consider an object with mass m = 0.4 kg that is attached ot a spring with a spring constant of k = 125 N/m so that it experiences a linear restoring force. It also experiences a linear damping force (-bx) with a damping constant of b equilibrium by a distance of xo = 0.2 m and is released from rest. 10 kg/s. The body is displaced from %3D c. Write the position function x (t) for this oscillator. Make sure to solve for all unknown constants. (10 points) d. If a driving force F = F, cos wt is applied to the oscillator, what frequency (@R) will produce a resonance in the system? (3 points) %3D
Consider an object with mass m = 0.4 kg that is attached ot a spring with a spring constant of k = 125 N/m so that it experiences a linear restoring force. It also experiences a linear damping force (-bx) with a damping constant of b equilibrium by a distance of xo = 0.2 m and is released from rest. 10 kg/s. The body is displaced from %3D c. Write the position function x (t) for this oscillator. Make sure to solve for all unknown constants. (10 points) d. If a driving force F = F, cos wt is applied to the oscillator, what frequency (@R) will produce a resonance in the system? (3 points) %3D
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Transcribed Image Text:Consider an object with mass m = 0.4 kg that is attached ot a spring with a spring constant
of k = 125 N /m so that it experiences a linear restoring force. It also experiences a linear
damping force (-bx) with a damping constant of b = 10 kg/s. The body is displaced from
equilibrium by a distance of x, = 0.2 m and is released from rest.
c. Write the position function x(t) for this oscillator. Make sure to solve for all
unknown constants. (10 points)
d. If a driving force F =
produce a resonance in the system? (3 points)
Fo cos wt is applied to the oscillator, what frequency (wR) will
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