Question

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.
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 🤔