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Pendulums move in a manner consistent with a harmonic oscillator.

When you raise a pendulum, you are giving it potential energy (due to gravity).

When you release it, the potential energy decreases counter to increasing kinetic energy as it is accelerated due to gravity. As it passes the lowest position, it begins its upswing, and the kinetic energy (momentum) carries it back up, increasing potential energy and decreasing kinetic energy (as it slows due to gravity pulling down on it).

And the entire process repeats on the downswing after it reaches the maximum height of upswing.

This process continues until frictional forces, air resistance, and other sources of kinetic inefficiency gradually reduce the overall energy available to the system, and then the pendulum approaches equilibrium at zero kinetic energy with respect to that reference frame.

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