A Solid, Uniform, Horizontal Disk with a Diameter of 2

question 57

Short Answer

A solid, uniform, horizontal disk with a diameter of 2.0 m and a mass of 4.0 kg freely rotates at 36 rpm about a vertical axis through its center. A small 0.50-kg stone is suddenly dropped onto the disk and sticks to the disk at a distance of 80 cm from the axis of rotation. The figure shows before and after views.
(a) Before the stone fell, what was the moment of inertia of the disk about its central axis?
(b) After the stone stuck, what was the moment of inertia of the system about the same axis?
(c) What is the angular velocity of the disk (in rpm) after the stone fell onto the disk?

---

Definitions:

Intellectual Ability

Refers to the capacity to think, reason, solve problems, and learn, often measured through IQ tests or other cognitive assessments.

Social Ability

The skill to interact and communicate effectively with others in social settings.

Bronfenbrenner

Urie Bronfenbrenner developed the Ecological Systems Theory to explain how the inherent qualities of a child and the characteristics of the external environment which the child finds himself in interact to influence how the child will grow and develop.

Bioecological Model

A theoretical model proposing that an individual's development is influenced by the complex interrelations among various personal and environmental factors.