Forced Vibations Homework: Understand Driver & Oscillator Phases

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When the driving frequency is significantly lower than the natural frequency, the driver and oscillator are in phase, meaning they move together synchronously. Conversely, when the driving frequency is much higher than the natural frequency, the oscillator cannot match the driver’s speed, resulting in an out-of-phase relationship, or anti-phase. This phase difference is crucial for understanding resonance and energy transfer in oscillatory systems. Clarifying these concepts helps in grasping the dynamics of forced vibrations. Understanding these phase relationships is essential for solving related physics problems effectively.
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Homework Statement


Can someone please help me to make sense of this statement: When the driving frequency is much less than the natural frequency then the driver is in phase with the oscillator. When the driving frequency is much greater than the natural frequency the oscillator can't keep up so the oscillator and the driver are completely out of phase (anti-phase).

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