Newton's Cradle, Simple Harmonic Motion

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SUMMARY

Newton's Cradle can be analyzed through the principles of simple harmonic motion (SHM). The period of the cradle is equivalent to that of a simple pendulum, which can be calculated using the formula T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. The assumption that the spheres act as point masses allows for the simplification of the system, maintaining a constant velocity of the center of mass throughout the collisions. This analysis confirms that Newton's Cradle exhibits characteristics of SHM under ideal conditions.

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Is it possible to see Newton's cradle in simple harmonic motion?

Im thinking that the period is the same as a simple pendulum, if not how would I calculate this?
 
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It is simple harmonic motion as long as you pretend that the five spheres are point masses. The velocity of the center of mass does not change through the multiple collisions, so you can view this as a single oscillating mass. Since the period of a simple pendulum is independent of the mass, then it is given by an equation that looks like ...
 

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