Find the Center of Mass of a Lamina in the Shape

question 40

Multiple Choice

Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length $a = 25$ 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.

• A) \(( 10,10 )\)
• B) \(( 10,25 )\)
• C) \(( 25,25 )\)
• D) \(( 5,10 )\)
• E) None of these

---

Definitions:

Saline

A solution of salt in water, commonly used in medical treatments for hydration or wound cleaning.

Venipuncture

The puncture of a vein with a needle for the purpose of drawing blood or administering fluids intravenously.

IV Catheter

A flexible tube inserted into a vein, usually in the hand or arm, to administer medications or fluids directly into the bloodstream.

Safety Device

Equipment or apparatus designed to prevent accidents or injuries, either by interrupting potentially dangerous operations or by providing protective barriers.