Pendulum Energy With Air Resistance
A pendulum of length L and mass m is released from rest at an angle θ₀ from the vertical. During its first swing to the opposite side, air resistance dissipates 10% of the pendulum’s initial mechanical energy. What is the maximum angle θ₁ reached at the end of this swing?
A
θ₁ = arccos(0.9cos(θ₀))
B
θ₁ = θ₀√0.9
C
θ₁ = arccos(1 - 0.9(1 - cos(θ₀)))
D
θ₁ = 0.9θ₀
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