Simple Harmonic Motion of a Simple Pendulum 1. If the period of the pendulum in the preceding sample problem were 24 s, how tall would the tower be? 2. You are designing a pendulum clock to have a period of 1.0 s. How long should the pendulum be? 3. A trapeze artist swings in simple harmonic motion with a period of 3.8 s. Calculate the length of the cables supporting the trapeze. 4. Calculate the period and frequency of a 3.500 m long pendulum at the following locations: a. the North Pole, where a, = 9.832 m/s b. Chicago, where a, = 9.803 m/$2 c. Jakarta, Indonesia, where a, = 9.782 m/s