CBSE Class 11-science Answered
How long after the beginning of motion is the displacement of a harmonically oscillating particle equal to one half its its amplitude if the period is24s and particle starts from rest.
Asked by aradhanarishab | 25 Nov, 2018, 11:11: PM
Expert Answer
Displacement x of SHM, x = a sin( ωt ) .....................(1)
where a is amplitude, ω is angular frequency which is given by ω = 2π/T where T is period of SHM and t is time
if displacement x is half of amplitude, then time taken is calculated using eqn.(1) as given below
(a/2) = a sin [ (2π/ 24) t ]
hence ( π/12 )t = sin-1(1/2) = π/6 or t = 2 s
Answered by Thiyagarajan K | 26 Nov, 2018, 12:01: AM
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