Degrees of freedom shown for a mechanical object. You should know the 3 types of motion — Translational, Rotational and Vibrational. Degrees of freedom are all the possible unique ways that an object can move in each of the forms of motion. A water vapor molecule has around 10 degrees of freedom whereas a water molecule in an ice cube only has about 3.

Human hand is extremely complicated. For all you premed types, better start memorizing!

Many degrees of freedom in the human hand

human torso has various degrees of freedom of motion

Degrees of freedom of the hip,legs, and feet. How many possible degrees of freedom does a human body have?

A big part of robotics is maximizing degrees of freedom while maintaining strength and stability.

Each joint in a robotic arm adds more degrees of freedom and MUCH more complication.

Some of the degrees of freedom of a water molecule.

With increasing temperature comes increasing degrees of freedom (at phase changes) which leads to higher disorder (entropy –> ∆S)

Symmetry is another huge concept in Physics. This came up because molecules rotate about axes of symmetry.

Two axes (or planes) of symmetry for a water molecule.

Symmetries in crystal growth. If you like this stuff, look into Materials Science — a division of Physics.

snowflake — check out all the lines of symmetry.

Sometimes molecules and systems are anti-symmetric.

SInce Reed asked to question about light having momentum, but no mass.

WHere the expanded relativity equation comes from.

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