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## Homework Statement

A block on a frictionless table is connected to two springs having spring constants k

_{1}and k

_{2}. Show that the block's oscillation frequency is given by f = (f

_{1}

^{2}+ f

_{2}

^{2})

^{.5}where f

_{1}and f

_{2}are the frequencies at which it would oscillate if attached to spring 1 or spring 2 alone.

## Homework Equations

f = 1/T

T = 2pi(m/k)

^{.5}

## The Attempt at a Solution

I have substituted the period into the frequency and I am stuck. It looks like they found f

_{1}and f

_{2}alone and put them into the Pythagorean theorem, but I do not know how to relate them.