A uniform disc of diameter (250 mathrm{~mm}) and weighing (4.5 mathrm{~N}) is mounted at one end of
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A uniform disc of diameter \(250 \mathrm{~mm}\) and weighing \(4.5 \mathrm{~N}\) is mounted at one end of an arm of length \(0.5 \mathrm{~m}\). The other end of the arm is free to rotate in a universal bearing. If the disc rotates about the arm with a speed of \(240 \mathrm{rpm} \mathrm{cw}\), looking from the front, with what speed will it precess about the vertical axis?
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