A Pendulum Experiment A pendulum of length L is suspended from the ceiling so it can swing freely; 9 denotes the angular displacement, in radians, from the vertical, as shown in Fig. 4.1. 12. The motion is described by the pendulum equation,

Determine the period for small oscillations by using the approximation sin ( ( 9 (the linear pendulum). What is the relationship between the period of the pendulum and g, the acceleration due to gravity? If the sun is 400,000 times more massive than the earth, how much faster would the pendulum oscillate on the sun (provided it did not melt) than on the earth?

Pendulums
This tool allows you to compare the motions of the linear, nonlinear, and forced pendulums with predictable and/or chaotic results.

Transcribed Image Text:

ngsin#20. Fsin9 FIGURE . 1.12 Simple pendulum (Problem 59).