(10%) Problem 10: 
A rotating system
consists of four particles, each of mass M = 0.87
kg, fixed at distances from the rotation axis that are all integer
multiples of the length L = 0.21 m.
13% Part (b) Calculate, in
units of kilogram meters squared, the moment of inertia of the
system when each particle is fixed at distance L from the
rotation axis.
13%
Part (c) Enter an expression, in terms of the
quantities defined in the problem, for the moment of inertia of the
system when three of the particles are fixed at distance L
from the rotation axis and the fourth is fixed on the rotation
axis.
13%
Part (d) Calculate, in units of kilogram meters
squared, the moment of inertia of the system when three of the
particles are fixed at distance L from the rotation axis
and the fourth is fixed on the rotation axis.
13%
Part (e) Enter an expression, in terms of the
quantities defined in the problem, for the moment of inertia of the
system when two of the particles are fixed on the rotation axis and
the other two are fixed at distances L and 2L
from the rotation axis.
13%
Part (f) Calculate, in units of kilogram meters
squared, the moment of inertia of the system when two of the
particles are fixed on the rotation axis and the other two are
fixed at distances L and 2L from the rotation
axis.
13%
Part (g) Enter an expression, in terms of the
quantities defined in the problem, for the moment of inertia of the
system when two of the particles are fixed at distance 2L
from the rotation axis, one is fixed at distance L from
the axis, and one is fixed on the axis.
13%
Part (h) Calculate, in units of kilogram meters
squared, the moment of inertia of the system when two of the
particles are fixed at distance 2L from the rotation axis,
one is fixed at distance L from the axis, and one is fixed
on the axis.
Homework Answers
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(10%)
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