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Problem 3-19

# Problem 3-19 - MACHINE DESIGN An 3-19-1 PROBLEM 3-19 Assume...

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MACHINE DESIGN - An 3-19-1 PROBLEM 3-19 Statement: Assume that the CG of the paper rolls in Problem 3-18 is 2.5 ft above the floor of the trailer. At what speed on the same curve will the pile of rolls tip over (not slide) with respect to the trailer? Given: Weight of paper W p 44415 lbf . Radius of curve r 50 ft . Paper roll length L 38 in . L 3.167 ft = Height of CG from floor h 2.5 ft . Assumptions: 1. The paper rolls act as a single, lumped mass and tip about one corner where they are braced against sliding. The brace provides no moment support. Solution: See Figure 3-19 and Mathcad file P0319. 1. First, calculate the location of the paper's CG with respect to the outside corner when it is on the reverse-banked curve. From Figure 3-19, 2.500' R x R y a ybar b 3.167' xbar W p F cp Tilt angle θ 3 deg . a h tan () . a 0.131 ft = bLa b 3.036 ft = xbar b cos . xbar 3.031 ft = ybar b sin . h cos FIGURE 3-19 FBD of Paper on the Verge of Tipping ybar 2.662 ft = The coordinates of the CG of the paper with respect to the lower outside corner are: xbar 3.031 ft = ybar 2.662 ft = 2.

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Problem 3-19 - MACHINE DESIGN An 3-19-1 PROBLEM 3-19 Assume...

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