Answer to Question #141076 in Physics for alwande hadebe

Question

A pendulum of length l with a bob of mass m moves through oil with decreasing angle θ as shown in the figure.



The massive bob undergoes small oscillations but the oil retards its motion with a resistance force proportional to the speed, given by Fr=2mg/l−−−√(lθ˙). The bob is initially pulled back at t=0 with θ= 8.05∘ and θ˙=0. The damping factor for the oil is γ=0.25 s−1

After establishing the equation of motion for small oscillations, convince yourself that the pendulum is critically damped and then find the angular displacement θ at time t=9.57 s.

Answer 1

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