A particle executes SHM from X equals to -A TO A time taken for it to go from O to A/2 IS
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when a particle executes a SHM:
d^2 x/d x^2 = - ω² x
Time period = T for the particle to go from x = -A to A and then back to -A.
Here A is the amplitude.
x = A sin (ω t) , let Ф = phase initial = 0 without loss of generality.
T = 2π/ω
x = 0 when t = 0
x = A/2 when sin ωt =1/2
=> t = π/6ω = T/12
Thus in one by 12th of time period the particle goes from 0 to A/2.
d^2 x/d x^2 = - ω² x
Time period = T for the particle to go from x = -A to A and then back to -A.
Here A is the amplitude.
x = A sin (ω t) , let Ф = phase initial = 0 without loss of generality.
T = 2π/ω
x = 0 when t = 0
x = A/2 when sin ωt =1/2
=> t = π/6ω = T/12
Thus in one by 12th of time period the particle goes from 0 to A/2.
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