ch12-p020 - T L (the tension in the cable connecting the...

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20. With pivot at the left end of the lower scaffold, Eq. 12-9 leads to m 2 g L 2 2 mgd + T R L 2 = 0 where m 2 is the lower scaffold’s mass (30 kg) and L 2 is the lower scaffold’s length (2.00 m). The mass of the package ( m = 20 kg) is a distance d = 0.50 m from the pivot, and T R is the tension in the rope connecting the right end of the lower scaffold to the larger scaffold above it. This equation yields T R = 196 N. Then Eq. 12-8 determines
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Unformatted text preview: T L (the tension in the cable connecting the right end of the lower scaffold to the larger scaffold above it): T L = 294 N. Next, we analyze the larger scaffold (of length L 1 = L 2 + 2 d and mass m 1 , given in the problem statement) placing our pivot at its left end and using Eq. 12-9: m 1 g L 1 2 T L d T R ( L 1 d ) + T L 1 = 0 . This yields T = 457 N....
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