Practice Average Power (7.2) - Simple harmonic motion, damped and forced simple harmonic oscillator

Practice: Average Power

Lesson 7.2Simple harmonic motion, damped and forced simple harmonic oscillator

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8 questions

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6 sample questions

Question 1.
What is the formula for average power in SHM?
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Recall that average power depends on force amplitude, displacement, and phase lag.
Question 2.
What happens to average power when δ equals π/2?
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Think about the cosine function.
3Question 3.
What is the average power formula in steady-state forced SHM?
- A) P = 2F0Acosδ
- B) P = (1/2)F0Acosδ
- C) P = F0A
- D) P = (1/4)F0A
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Focus on the factors that contribute to average power.
4Question 4.
True or False: Average power reaches a peak value at resonance.
- True
- False
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Consider what happens during resonant conditions.
Question 5.
Given a mass-spring system with a driving force of 15 N, a phase lag of 30 degrees, and a displacement amplitude of 5 m, calculate the average power absorbed by the system.
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Use the conversion for cos(30°) as √3/2.
Question 6.
Design a situation where an external oscillating force can induce resonance in a mechanical system. Explain your design.
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Consider parameters like mass, spring constant, and external force frequency.

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