A simple pendulum consists of a bob suspended by a light string of length

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

Problem

A simple pendulum consists of a 0.40 kg0.40\,\text{kg} bob suspended by a light string of length 1.2 m1.2\,\text{m}. The bob is released from rest after being displaced through an angle of 15∘15^\circ. Which of the following pairs correctly gives (i) the magnitude of the restoring force at the release point and (ii) whether the small-angle (linear) approximation is acceptable at this angle? (a) 1.0 N1.0\,\text{N} ; approximation acceptable (b) 1.0 N1.0\,\text{N} ; approximation not acceptable (c) 1.7 N1.7\,\text{N} ; approximation not acceptable (d) 2.5 N2.5\,\text{N} ; approximation acceptable

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