One change, explained

Why does the shorter swing move faster?

Release a long and a short pendulum together and compare how length changes their rhythm.

Start with the question

Both pendulums start at the same angle. Why does the shorter one return first?

Length sets the time scale of a pendulum. A shorter pendulum needs less time for each cycle; at small angles, changing its mass does not change the period.

Change just this

Change the short pendulum length from 0.6m to 1m and compare their rhythm.

scene two_swings

support beam orientation=horizontal #blue
pendulum short length=0.6m angle=16deg subject=swing #gold
pendulum long length=1.5m angle=16deg subject=swing #red

short <-> beam
long <-> beam

simulate 3s playback=6s
show path equilibrium motion

scene two_swings

support beam orientation=horizontal #blue
pendulum short length=1m angle=16deg subject=swing #gold
pendulum long length=1.5m angle=16deg subject=swing #red

short <-> beam
long <-> beam

simulate 3s playback=6s
show path equilibrium motion

Compare before and after

Why does the shorter swing move faster?

01Short pendulum: 0.6 m

time 0s

Diagram description

Animated physics diagram: two_swings; showing time.

02Short pendulum changed to 1 m

time 0s

Diagram description

Animated physics diagram: two_swings; showing time.

The physics behind it

Both pendulums start at the same angle. Why does the shorter one return first?

Change the short pendulum from 0.6 m to 1 m. Its rhythm slows and moves closer to that of the 1.5 m pendulum. The motion follows each physical period rather than a hand-authored speed.

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