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If the spring constant of a simple harmonic oscillator is quadrupled, by what factor will the mass of the system need to chan

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Answer #1

here,

the initial spring constant is K0

the final spring constant , K = 4 * K0

when the frequency remains the same

(1/2*pi) * sqrt(K/m) = (1/2*pi) * sqrt(K0/m0)

K/m = K0 /m0

4 * K0 /m = K0 /m0

m = 4 * m0

the mass of the system must be quadrupled

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