A simple pendulum has a bob of mass m and swings with an angular amplitude ϕ. The tension in the thread is T. At a certain time, the string makes an angle θ with the vertical θ ≤ ϕ).
(a) T = mg cos θ, for all values of θ.
(b) T = mg cos θ, only for θ = ϕ.
(c) T = mg, for θ = cosθ 1 [1/3 (2Cos ϕ + 1)].
(d) T will be larger for smaller values of θ.