The forces acting on a simple pendulum are shown in Fig. 13.26. (a) Show that, for the small angle approximation (sin θ θ), the force

The forces acting on a simple pendulum are shown in Fig. 13.26.

(a) Show that, for the small angle approximation (sin θ ‰ˆ θ), the force producing the motion has the same form as Hooke€™s law.
(b) Show by analogy with a mass on a spring that the period of a simple pendulum is given by T = 2Ï€ˆšL/g.

mg cos ing sin nt