The amplitude of a vibrating system falls from to in

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

The amplitude of a vibrating system falls from 5.0 cm5.0\,\text{cm} to 3.0 cm3.0\,\text{cm} in 5 s5\,\text{s}. Assuming light damping, calculate the damping constant β\beta. (a) 0.08 s−10.08\,\text{s}^{-1} (b) 0.10 s−10.10\,\text{s}^{-1} (c) 0.05 s−10.05\,\text{s}^{-1} (d) 0.20 s−10.20\,\text{s}^{-1}

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