A string is wrapped around a uniform solid cylinder of radius r , as shown in th
ID: 2172987 • Letter: A
Question
A string is wrapped around a uniform solid cylinder of radius r , as shown in the figure (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. Note that the positive y direction is downward and counterclockwise torques are positive.Find the magnitude of the angular acceleration of the cylinder as the block descends.
A string is wrapped around a uniform solid cylinder of radius r , as shown in the figure (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. Note that the positive y direction is downward and counterclockwise torques are positive.Find the magnitude of the angular acceleration of the cylinder as the block descends.Explanation / Answer
A freebody diagram of the situation led me to: a = g[1 - Mc/(Mc+2Mb)] from which a = a/r = (g/r)*[1 - Mc/(Mc+2Mb)] Equations used: I = ½Mc*r² a = a/r a = (Mb*g - T)/Mb = a*r
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