A string is wrapped around a uniform solid cylinder of radius r(Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Find the magnitude α of the angular acceleration of the cylinder as the block descends. Express your answer in terms of the cylinder's radius r and the magnitude of the free-fall acceleration g

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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A string is wrapped around a uniform solid cylinder of radius r(Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m.

Find the magnitude α of the angular acceleration of the cylinder as the block descends.

Express your answer in terms of the cylinder's radius r and the magnitude of the free-fall acceleration g
 
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