A Solid Uniform Sphere of Radius R and Mass M

question 28

Multiple Choice

A solid uniform sphere of radius R and mass M has a rotational inertia about a diameter that is given by (2/5) MR². A light string of length 3R is attached to the surface and used to suspend the sphere from the ceiling. Its rotational inertia about the point of attachment at the ceiling is:

• A) (2/5)MR²
• B) 9MR²
• C) 16MR²
• D) 47/5MR²
• E) (82/5)MR²

---

Definitions:

Capital Balances

The amount of money that shareholders have invested in a company, not including retained earnings or profits.

Sole Proprietorships

A form of business organization where a single individual owns, manages, and is responsible for all aspects of the business, including debts.

Net Income

The amount of profit earned in a period after all expenses, taxes, and costs have been subtracted from total revenue.

Fixed Ratio

A financial metric that reflects the consistency of a company's financial performance by comparing various fixed costs to its total expenses.