A (0.25-mathrm{kg}) bob is suspended from a string that is (0.60 mathrm{~m}) long. When the pendulum is

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A \(0.25-\mathrm{kg}\) bob is suspended from a string that is \(0.60 \mathrm{~m}\) long. When the pendulum is set into small-amplitude oscillation, the amplitude decays to half of its initial value in \(35 \mathrm{~s}\).

(a) What is the time constant \(\tau\) for the pendulum?

(b) At what instant is the energy half of its initial value?

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