Transcript 14.4 day 2 moments of inertia (optional)

14.2 day 2 moments of inertia
Moment of Inertia
One way to view the mass of an object is to view
it as the tendency of that object to avoid
changes in straight line motion. (F = ma)
The moment of inertia about a line is the tendency
to resist a change in rotational motion.
• where τ is the total torque exerted on the body,
and I is the mass moment of inertia of the body.
Torque = moment of inertia times angular acceleration
• Moment of inertia for a point mass can be
computed by the following formula.
Where I is the moment of inertia, m is the
mass and r is the distance from the axis of
rotation.
If the mass is not a point mass then one needs to use the following formula
Example 4
Find the moment of inertia of the
lamina corresponding to the given
parabolic region
Example 4 Solution
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