A Uniform Solid Sphere of Mass M and Radius R

question 9

Multiple Choice

A uniform solid sphere of mass M and radius R rotates with an angular speed ω about an axis through its center.A uniform solid cylinder of mass M,radius R,and length 2R rotates through an axis running through the central axis of the cylinder.What must be the angular speed of the cylinder so it will have the same rotational kinetic energy as the sphere?

• A) 2ω/5
• B) ω
• C) 4ω/5
• D) 2ω/
• E) ω/

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Definitions:

Contribution Margin

The contribution margin is the difference between sales revenue and variable costs, showing how much revenue contributes to fixed costs and profit.

Variable Costs

Expenditures that fluctuate based on the production levels or the number of sales.

Break-Even Point

The point at which total costs and total revenue are equal, meaning there is no net loss or gain.

Fixed Costs

Costs that do not vary with the volume of production or sales, such as rent, salaries, and insurance.