Statics and Dynamics Quiz
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A uniform disk of mass mm and radius rr slides on a frictionless horizontal surface. A string wrapped around the disk's rim is pulled with a horizontal force FF tangent to the rim, causing the disk's center G to accelerate and the disk to spin with angular acceleration α\alpha.
On the kinetic diagram of the disk, a student places maGma_G at the center of mass directed in the direction of FF, and also a couple IGαI_G\alpha consistent with the string pull. A second student argues that since the only horizontal external force is FF, the equation F=maGF = ma_G fully describes the kinetics, and adding the couple IGαI_G\alpha to the kinetic diagram double-counts the effect of FF. Which assessment is correct?
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