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August 11, 2022

A person swings freely back and forth while hanging by the hands at a bar

1) A person swings freely back and forth while hanging by the hands at
a bar. Assume the person's mass is 100kg, length of the total upper limb segment
is 0.8m, length of trunk/head/neck segment is 0.8m, length of limb segment
total bottom is 0.8m, g=-10m/s2
.

a)For the hanging person, estimate the location of its center of mass in relation to the
bar and its rotational moment of inertia about the bar.
b)  An observer measures the period of one complete swing of the hanging person and
finds the value 2.0 seconds. Propose a mechanical model of the phenomenon (and state the
model simplifications and assumptions) to estimate the person's rotational inertia
from this experimental value of a complete oscillation. When necessary, use the Lagrangian formalism.

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