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5.6 One end of a uniform slender rod of mass m and length I slides along a friction- less vertical surface while the other end

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5.6 One end of a uniform slender rod of mass m and length I slides along a friction- less vertical surface while the other end of the rod slides along a frictionless horizontal surface as shown in Fig. P5-6. The angle 0 formed by the rod is measured from the vertical. Knowing that gravity acts vertically downward, determine (a) the differential equation of motion for the rod while it maintains contact with both surfaces and (b) the value of the angle 0 at which the rod loses contact with the vertical surface. In obtaining your answers, you may assume that the initial conditions are 0 (t = 0) = 0 and 0 (t = 0) = 0. C m, l B

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