Two particles undergo $SHM$ along parallel lines with the same time period $(T)$ and equal amplitudes. At a particular instant, one particle is at its extreme position while the other is at its mean position. They move in the same direction. They will cross each other after a further time
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$\mathrm{x}_{1}=\mathrm{A} \cos \omega \mathrm{t}$
$\mathrm{x}_{2}=-\mathrm{A} \sin \omega \mathrm{t}$
if they will cross each other
$X_{1}=X_{2}$
for crossing first time
time $=\frac{3 \mathrm{T}}{8}$
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