**1.On which of the following does the moment of inertia of an object depend?**

**linear speed**

**linearacceleration**

**angularspeed**

**angularacceleration**

**totalmass**

**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).**

**Answer:**

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