Derive a formula for the maximum speed vmax of a simple pendulum bob in terms of g, the length ℓ, and the maximum angle of swing θmax.

Question

Express your answer in terms of the variables g, l, and θmax.

Answer 1

θ=θ(max) •sin(ωt+α)
dθ/dt =θ(max) •ω•sin(ωt+α)
(dθ/dt)(max) = θ(max)•ω= θ(max)√(g/L)
v(max) =(dθ/dt)(max) •L = L•θ(max)√(g/L)

Answer 2

Elena's answer seems to be incorrect

Answer 3

v max = sqrt( 2gL( 1−cos(θmax) ) )

Answer 4

how to dirive a furmua to find the perimiter of following figures

Answer 5

Well, neither do I 🤔