A Uniform Solid Cylinder of Mass 10 Kg Can Rotate

question 94

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. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

• A) 13 rad
• B) 7.5 rad
• C) 5.0 rad
• D) 10 rad

---

Definitions:

Alternative DSM-5 Model

A different approach within the Diagnostic and Statistical Manual of Mental Disorders, 5th Edition, aiming to integrate dimensional assessments of personality disorders and other mental health conditions.

Dimensional Perspectives

An approach in psychology that quantifies a person's symptoms or traits along a continuum rather than categorizing them as present or absent.

Continuum

A continuous sequence in which adjacent elements are not perceptibly different from each other, although the extremes are quite distinct.

Diagnosing Disorders

The process of identifying diseases or disorders based on symptoms, history, and tests.