Solve the given problems using the information given.

a. Show that the equation for the perpendicular component of the net restoring force on the pendulum bob (as a function of m, g, and the displacement angle 0 from equilibrium), is given by Fret = - mg sin0. Fiens m - -grav =- mgcos 0 pret = Fgrav Fig. 14.8. Fgrav = -mgj b. The small angle approximation: The value of 0 in radians and the value of sin 0 are quite close to each other for small values of 0. Use a spreadsheet or scientific calculator to find the angle in radians for which 0 and sin 0 vary from each other by 1%. Use three decimal places in your calculations