Q8 of 111 Page 252

Consider a simple harmonic motion of time period T. Calculate the time taken for the displacement to change value from half the amplitude to the amplitude.

T/6


Since, the motion is a simple Harmonic.


Its equation will be given by the equation,



Now, for the first half journey,



we will get,



Φ = 0,


In initial phase,


∴



For second Journey, from A/2 to A,






Time taken from A/2 to


Now,


∴


=T/6.


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