In forced oscillations, what is the phase difference between the driving force a

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Question: In forced oscillations, what is the phase difference between the driving force and the displacement at resonance?

Options:

Correct Answer: 0 degrees

Solution:

At resonance, the phase difference between the driving force and the displacement is 0 degrees, meaning they are in phase.

In forced oscillations, what is the phase difference between the driving force and the displacement at resonance?

In forced oscillations, what is the phase difference between the driving force and the displacement at resonance?

Step 1: Understand what forced oscillations are. This is when an external force is applied to a system to make it oscillate.
Step 2: Learn about resonance. This occurs when the frequency of the driving force matches the natural frequency of the system.
Step 3: Know what phase difference means. It is the difference in the timing of two oscillating quantities, measured in degrees.
Step 4: At resonance, the driving force and the displacement of the system reach their maximum values at the same time.
Step 5: Since they reach their maximum values together, the phase difference is 0 degrees, meaning they are in phase.

Forced Oscillations – The oscillations of a system driven by an external periodic force.
Resonance – The condition in which a system oscillates at maximum amplitude due to the driving frequency matching the natural frequency.
Phase Difference – The difference in phase angle between two oscillating quantities, indicating how they relate to each other in time.