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V = Aω cos ωt
Ek =
= m A²ω² cos²ωt
= m A²ω² (1-sin²ωt)
= m ω² (A²- A²sin²ωt)
= m ω² (A²-Y²)
Ep = kY²
= mω² Y²
EM = EP + EK
= mω²Y² + mω²(A²-Y²)
= mω² (Y²+A²-Y²)
= mω²A²
Saat EK= 3EP
maka
EM = EP + EK
= EP + 3EP
EM= 4 EP
mω²A² = 4 mω²Y²
Coret variable yang sama antara ruas kira dan ruas kanan
A² = 4 Y²
Y² = A²
Y =
=
artinya saat simpangan = setengah dari amplitudonya.