About this Video
In this session, we extend the solution of the motion of oscillators with one degree of freedom without damping to the case where damping can no longer be ignored.
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- Oscillation of a hanging ruler pivoted at one end (the same system as discussed in the previous problem solving video on simple harmonic motion but now taking into account possible damping (i.e., presence of a drag or resistive torque). (0:15:59)
- The motion of the ruler if the damping is strong ("over-damped" case). (0:13:54)
- The motion of the ruler if the damping is weak ("under-damped" case) (0:13:12)
- A general discussion of all possible harmonic oscillators with one degree of freedom, with or without damping, based on the three cases considered earlier. (0:07:43)
- Good and bad oscillators–the "Q-value." (0:02:54)
- Definition of the quality factor Q. (0:02:54)
- Calculation of Q for the "hanging ruler" oscillator considered in the first example. (0:04:40)
Oscillation of a hanging ruler pivoted at one end (the same system as discussed in the previous problem solving video on simple harmonic motion but now taking into account possible damping (i.e., presence of a drag or resistive torque).
The motion of the ruler if the damping is strong ("over-damped" case).
The motion of the ruler if the damping is weak ("under-damped" case)
A general discussion of all possible harmonic oscillators with one degree of freedom, with or without damping, based on the three cases considered earlier.
Calculation of Q for the "hanging ruler" oscillator considered in the first example.