Lesson: Moment of Inertia
In this lesson, we will learn how to calculate the moment of inertia of a system given the rotational motions of its components.
Sample Question Videos
Worksheet: 15 Questions • 1 Video
A uniform rod of mass 1.0 kg and length 2.0 m is free to rotate about one of its ends, as shown in the accompanying diagram. If the rod is released from rest at an angle of above the horizontal, what is the speed of the tip of the rod as it passes the horizontal position?
Calculate the moment of inertia of the skater.
The skater extends her arms, and in this configuration her body can be approximated as a cylinder of mass 52.5 kg and radius 0.110 m. From the surface of this cylinder her arms project in opposite directions and perpendicularly to the cylinder’s surface. Each arm can be modelled as 0.900 m long cylinder of mass 3.75 kg. Calculate the moment of inertia of the skater in this configuration.
A solid sphere of radius 10 cm is allowed to rotate freely about an axis. The sphere is given a sharp blow so that its center of mass starts from the position shown in the following figure with speed 15 cm/s. What is the maximum angle that the diameter makes with the vertical?