A Uniform Solid Sphere of Mass M and Radius R

question 22

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:

Government Intervention

Regulatory actions taken by a government in order to affect or interfere with decisions made by individuals, groups, or organizations regarding economic and social matters.

Marginal Cost

The cost of producing one additional unit of a product or service.

Society's Welfare

The overall well-being and quality of life of a community or society, influenced by economic, social, and environmental factors.

Marginal Cost

The cost added by producing one additional unit of a product or service, a critical factor in economic decision-making.