physics

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A mass oscillate with SHM of amplitude A and period T y = A cos (2πt/T). The kinetic energy of the mass is equal with
twice the potential energy of the spring at :

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    y=Acos(2πt/T)
    KE= (mA²ω²/2)sin²(2πt/T)
    PE=(mA²ω²/2)cos²(2πt/T)
    KE=2PE =>
    (mA²ω²/2)sin²(2πt/T) = 2 (mA²ω²/2)cos²(2πt/T)
    tan²(2πt/T)=2
    tan (2πt/T)=√2 =1.41
    (2πt/T) = arctan 1.41 = 0.954 rad
    t= 0.954T/2π = 0.15T

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