Examples
The animations below depict several different modes of oscillation given different initial conditions. The small graph above the pendulums are their phase portraits.
-
Initial angle of 0°, a stable equilibrium.
-
Initial angle of 45°
-
Initial angle of 90°
-
Initial angle of 135°
-
Initial angle of 170°
-
Pendulum with just barely enough energy for a full swing
-
Pendulum with enough energy for a full swing
-
Initial angle of 180°, unstable equilibrium.
Read more about this topic: Pendulum (mathematics)
Famous quotes containing the word examples:
“There are many examples of women that have excelled in learning, and even in war, but this is no reason we should bring ‘em all up to Latin and Greek or else military discipline, instead of needle-work and housewifry.”
—Bernard Mandeville (1670–1733)
“It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
—G.C. (Georg Christoph)
“Histories are more full of examples of the fidelity of dogs than of friends.”
—Alexander Pope (1688–1744)