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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the formula for average power in SHM?
π‘ Hint: Recall that average power depends on force amplitude, displacement, and phase lag.
Question 2
Easy
What happens to average power when Ξ΄ equals Ο/2?
π‘ Hint: Think about the cosine function.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the average power formula in steady-state forced SHM?
- A) P = 2F0AcosΞ΄
- B) P = (1/2)F0AcosΞ΄
- C) P = F0A
- D) P = (1/4)F0A
π‘ Hint: Focus on the factors that contribute to average power.
Question 2
True or False: Average power reaches a peak value at resonance.
- True
- False
π‘ Hint: Consider what happens during resonant conditions.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
π‘ Hint: Use the conversion for cos(30Β°) as β3/2.
Question 2
Design a situation where an external oscillating force can induce resonance in a mechanical system. Explain your design.
π‘ Hint: Consider parameters like mass, spring constant, and external force frequency.
Challenge and get performance evaluation