Find the Center of Mass of a Lamina in the Shape

question 30

Short Answer

Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length $a = 15$ if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse. Assume the vertex opposite the hypotenuse is located at $( 0,0 )$ , and that the sides are along the positive axes.

---

Definitions:

Mandatory Reporting

A legal requirement to report certain conditions or incidents, such as abuse, to authorities.

Elder Abuse

Harmful acts toward an elderly person, including physical, emotional, or sexual harm, as well as neglect and financial exploitation.

Female Genital Mutilation

A practice involving the partial or total removal of the external female genitalia for non-medical reasons, often considered a violation of human rights.

Africa

The second largest continent in the world, known for its diverse cultures, languages, and ecosystems.