A Uniform Solid Cylinder of Mass 10 Kg Can $R _ { 1 } = 1.0$

question 53

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 $R _ { 1 } = 1.0$ m exerts a force of magnitude $F _ { 1 } = 5.0 \mathrm {~N}$ to the right. A second rope wrapped around another section of radius $R _ { 2 } = 0.50 \mathrm {~m}$ exerts a force of magnitude $F _ { 2 } = 6.0 \mathrm {~N}$ downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

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

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Definitions:

Pupillary Reflexes

The automatic adjustments in the diameter of the pupil, in response to the intensity of light and focusing efforts, to regulate the amount of light entering the eye.

Rod Function

The role of rod cells in the eye, primarily responsible for vision at low light levels (scotopic vision).

Cone Cells

Cells in the eye's retina called photoreceptors are crucial for seeing colors and achieving sharp vision in well-lit environments.

Binocular Vision

Vision using two eyes at the same time; responsible for depth perception when the visual fields of the eyes overlap.