Suppose a pendulum of length L meters makes an angle of radians with the vertical, as in the figure. It can be shown that as a function of time, satisfies the differential equation d20 + sin = 0, dt2 L where g = 9.81 m/s² is the acceleration due to gravity. For near zero (small) we can use the linear approximation sin(e) to get a linear differential equation d20 dt2 -+10=0. Answer the following questions. The pendulum of length 2 meters have initial angle 0.1 radians and initial angular de velocity =0.5 radians per second. dt (a) What is the amplitude of the pendulum? 0m radians (b)Determine the equation of motion for the pendulum

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