- #31
Maximizing Displacements in SHM: Is ωt = -Φ/2 the Correct Value?
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Homework Help Overview
The discussion revolves around maximizing displacements in simple harmonic motion (SHM) for two particles described by their respective displacement equations. The original poster presents a scenario involving the relationship between the phase difference and the maximum displacement, questioning the validity of a specific value of ωt.
Discussion Character
- Mixed
Approaches and Questions Raised
- Participants explore the implications of the phase difference on displacement values, with some questioning the correctness of the derived value of ωt = -Φ/2. Others discuss the conditions under which the displacements are equal and how to find the corresponding time.
Discussion Status
There is ongoing exploration of the relationships between the displacements of the two particles, with participants offering guidance on how to approach the problem. Some participants are verifying calculations and discussing potential errors in reasoning, while others are attempting to clarify the conditions for equal displacements.
Contextual Notes
Participants note constraints such as the requirement to avoid using calculators and the need to check results through algebraic methods rather than numerical evaluation. There is also mention of specific values derived from inverse trigonometric functions that are under scrutiny.
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