Angular Kinetics Review . Source: Chapter 12 of Basic Biomechanics by Susan Hall Reference to figures in this presentation refer to the former text by Kreighbaum, which is on reserve. Torque and Motion Relationships. Relationship between linear and angular motion
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T = I
What is torque?
What is rotational inertia,
Or moment of inertia?
It is the resistance of a system to rotational acceleration, and is
calculated at follows:
Here, r (the radius of rotation) is equal to k (the radius
of gyration), but that is not the case with extended bodies
An indicator of distribution of mass
about the axis. It is the distance from
the axis to a point at which all the
mass of a system of equal mass
would be concentrated to have the
MOI equal the original system. It
is, then, the average weighted
distance of the mass of a system
to the axis.
m3 d32 + . . . . . . .+ mi di2
But we can’t measure all of these small masses!