tentukan perbandingan periode getaran pegas, jika pada dua pegas yang identik, masing-masing diberi 200gram dan 400gram

[tex]T = 2 \pi \sqrt \frac{m}{k} [/tex]

m1 = 200gr
m2 = 400gr

maka
[tex] \frac{T1}{T2} = \frac{2 \pi \sqrt \frac{m1}{k} }{2 \pi \sqrt \frac{m2}{k} } [/tex]

[tex] \frac{T1}{T2} = \frac{ \sqrt \frac{m1}{k} }{ \sqrt \frac{m2}{k} } [/tex]

[tex] \frac{T1^{2} }{ T2^{2} } = \frac{ \frac{m1}{k} }{ \frac{m2}{k} } [/tex]

[tex] \frac{T1^{2} }{ T2^{2} } = \frac{ {m2.k}{} }{ {m1.k}{} } [/tex]

[tex] \frac{T1^{2} }{ T2^{2} } = \frac{ {m2}{} }{ {m1}{} } [/tex]

[tex]\frac{T1^2 }{ T2^2 } = \frac{ {400}{} }{ { {200} }{} }[/tex]

[tex] \frac{T1 }{ T2 } = \frac{ {2}{} }{ { \sqrt{2} }{} }[/tex]

T1 : T2 = 2 : [tex] \sqrt{2} [/tex]