A simple pendulum has a string of length and a bob of mass

PHYSICS · Single correct · AP · Physics C: Mechanics · Oscillations · Oscillations

Problem

A simple pendulum has a string of length 1.5 m1.5\,\text{m} and a bob of mass 0.30 kg0.30\,\text{kg}. It is pulled aside so that the bob moves 4.0 cm4.0\,\text{cm} along the arc and is then released. Using the small-angle approximation, calculate the magnitude of the restoring torque about the pivot at the instant of release. (Take g=9.8 m s−2g = 9.8\,\text{m\,s}^{-2}.) (a) 0.078 N m0.078\,\text{N\,m} (b) 0.176 N m0.176\,\text{N\,m} (c) 0.12 N m0.12\,\text{N\,m} (d) 0.059 N m0.059\,\text{N\,m}

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