A Uniform Solid Cylinder of Mass 10 Kg Can Rotate

question 87

Multiple Choice

A uniform solid cylinder of mass 10 kg can rotate about a frictionless axle through its center O,as shown in the cross-sectional view in the figure.A rope wrapped around the outer radius R₁ = 1.0 m exerts a force of magnitude F₁ = 5.0 N to the right.A second rope wrapped around another section of radius R₂ = 0.50 m exerts a force of magnitude F₂ = 6.0 N downward.What is the angular acceleration of the cylinder?

• A)1.0 rad/s²
• B)0.60 rad/s²
• C)0.40 rad/s²
• D)0.80 rad/s²

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Definitions:

French Fries

Refers to the popular side dish made from potatoes that are cut into strips and fried.

Utility

In economics, a measure of the satisfaction or happiness that individuals get from consuming goods and services.

Good X

Placeholder term often used in economic models to represent a generic good or product.

Diminishing Marginal Utility

The principle that as a person consumes more of a good, the satisfaction gained from each additional unit decreases.