Practice question
Question
Which feature of SHM explains why two particles with identical amplitude and frequency may not reach
their extreme positions simultaneously?
Explanation
**Effect of damping** is gradual amplitude reduction while period remains nearly constant for light damping. Mechanical energy decreases as work done against damping force, E(t) = ½ k A(t)² decaying exponentially, and motion ceases without external energy input, distinguishing from ideal undamped SHM. Different phase constants ( Φ ) shift the oscillation cycles, causing particles to reach extremes at different times despite equal amplitude and frequency. Applying x = A cos(ωt + φ), v = -ωA sin(ωt + φ), a = -ω²x and E = ½kA² = ½mω²A², result Difference in phase constants follows, reflecting SHM dependence on amplitude A, ω and system parameters.
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