A simple pendulum of length L and mass m swings about the vertical equilibrium position (θ=0) with a maximum angular displacement of θ_max. What is the tension in the connecting rod when th pendulum's angular displacement is θ=θ_max? i drew a free body diagram and using simple geometry with triangles found that Tcosθ_max=mg so i solved and i got T = mg/cosθ_max. what i did was split the tension into components while leaving the gravity alone but the book did the opposite. they split the gravity into components while leaving the tension alone. so they got T=mgcosθ_max. i don't understand how my answer is incorrect.