1.On which of the following does the moment of inertia of an object depend?
shape anddensity of the object
location of the axis of rotation
2.Consider the system of two particles, a and b, shown in the figure.
Particle a has mass m, and particle b has mass 2m.
Find the moment of inertia Ix of particle a with respect to the x axis (that is, if the x axis is the axis of rotation), the moment of inertia I_y of particle a with respect to they axis, and the moment of inertia Iz of particle a with respect to the z axis (the axis that passes through the origin perpendicular to both the x and y axes).
The moment ofinertia of the system is
where m is the mass of the each body
x is the distance between the each body and the axis of rotation ofthe body.
Then the moment of inertia is depends on the
- total mass
- shape and density of the object
- location of the axis of rotation