The amplitude and the time period in a S.H.M. is 0.5 cm and 0.4 sec respectively. If the initial phase is π2 radian, then the equation of S.H.M. will be
y=a sin (ωt+ϕ)
=asin ⎧⎪ ⎪⎩2πTt+ϕ⎫⎪ ⎪⎭⇒y=0.5 sin⎧⎪ ⎪⎩2π0.4t+π2⎫⎪ ⎪⎭
y=0.5sin⎧⎪⎩5πt+π2⎫⎪⎭=0.5 cos 5πt