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CBSE Class 11-science Answered

The displacement of the particle at time 't' will be (in question 8) ?
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Asked by arunavamitra50 | 16 Jun, 2018, 10:10: AM
answered-by-expert Expert Answer
Let displacement x = A sin(ωt) .....................(1)
velocity v = dx/dt = Aω cos(ωt)
acceleration a = dv/dt = -Aω2 sin(ωt)
 
if we compare with the given relation for acceleration, a = -5ω2 sin(ωt) and the given condition at t=0, x=0, v = 5ω,
 
we get A = 5
 
Hence the displacement x of particle at time t will be, x = 5 sin(ωt)
Answered by Thiyagarajan K | 16 Jun, 2018, 11:02: AM
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