For small oscillations

PHYSICS · Single correct · CBSE · Physics · Oscillations · Oscillations

Problem

For small oscillations, a simple pendulum can be modeled as simple harmonic motion. Suppose angular displacement θ\theta is defined to be positive when the bob is displaced clockwise from the lowest point. Which of the following statements about the restoring torque τ\tau exerted on the pendulum bob is most consistent with this choice of coordinate system? (a) τ\tau is negative and proportional to θ\theta. (b) τ\tau is positive and proportional to θ\theta. (c) τ\tau is negative and proportional to sin⁡θ\sin\theta. (d) τ\tau is negative and independent of θ\theta.

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