5.26 $\star \star$ An undamped oscillator has period $\tau_{\mathrm{o}}=1.000 \mathrm{~s}$, but $\mathrm{I}$ now add a little damping so that its period changes to $\tau_{1}=1.001 \mathrm{~s}$. What is the damping factor $\beta$ ? By what factor will the amplitude of oscillation decrease after 10 cycles? Which effect of damping would be more noticeable, the change of period or the decrease of the amplitude?

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