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Displacement in SHM

The displacement of a particle executing SHM at an instant is defined as the distance of particle from the mean position at that instant.
 
y = α sin (ωt ± φ)
 
where a = amplitude, ω­ = angular frequency, t = instantaneous time, T = time period, n = frequency, and φ = initial phase of particle.

 

Important Points
  • y = α sin ωt when the time is noted from the instant when the vibrating particle is at mean position.
  • y = α cos ωt when the time is noted from the instant when the vibrating particle is at extreme position.
  • y = α sin (ωt ± φ) when the vibrating particle is φ phase leading or lagging from the mean position.
  • Direction of displacement is always away from the equilibrium position, particle either is moving away from or is coming toward the equilibrium position.




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