An astronaut lands on an alien planet. He places a pendulum (L = 0.200 m) on the surface and sets it in simple harmonic motion, as shown in this graph.
 

 

 

Answer the following questions:
⦁ What is the period and frequency of the pendulum's motion?
⦁ How many seconds out of phase with the displacements shown would graphs of the velocity and acceleration be?
⦁ What is the acceleration due to gravity on the surface of the planet in m/s²?

 

Angular displacement T 0.060 0.040 0.020 0.000 0.020 0.040 0.060- Angular Displacement of a Pendulum www 0.0 0.5 1.0 1.5 2.0 Time (s) C 2.5 3.0 3.5 4.0 J