What is the period of the pendulum

A pendulum's angular position is given by e = 0.0310 cos(mt), where e is in radians and w = 3.83 rad/s. Find the period (in s) and length (in m) of the pendulum. period -5.29 How does period depend on angular frequency? s length 5.29 How does the angular frequency of a pendulum depend on its length and the free-fall acceleration? m

3. According to theory, the period T of a simple pendulum is T = 2π a. If L is measured as L = 1.25 ± 0.013 m; what is the predicted value of T? b. Would you say that a measured value of T = 2.25 +0.012 s is consistent with the theoretical prediction of part (a)?

4. The graph below shows the position of an object versus time in three different scenarios. Which of the following best describes the motion of the object? 1.0 A = Underdamped, B = Critically damped, C = Overdamped b. A = Underdamped, B = Overdamped, C = Critically damped c. A = Overdamped, B = Critically damped, C = Underdamped d. A = Overdamped, B = Underdamped, C = Critically damped A = Critically damped B = Overdamped, C = Underdamped a. e. xo .8 .6+ 2- 0 -.2 + 4 -.6 I V Y B 3 A A 2 A 0.4 K В d 0.6 0.8 C 1.0 1.2 1.4 + Time 1.6 (sec)