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A retaining wall against a mud slide is to be constructed by placing 1.2 m-high rectangular...

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Physics

A retaining wall against a mud slide is to be constructed byplacing 1.2 m-high rectangular concrete blocks (ρconcrete = 2700kg/m3 ) side by side, as shown in Figure 1. The frictioncoefficient between the ground and the concrete blocks is f = 0.3,and the density of the mud is about 1800 kg/m3 . There is concernthat the concrete blocks may slide or tip over the lower left edgeas the mud level rises.

a) Determine the minimum width w of the concrete blocks at whichthe blocks will overcome friction and start sliding. Plot theresults over the mud height ranging from zero to the top of theretaining wall in 0.2 m-increments.

b) Determine the minimum width w of the concrete blocks at whichthe blocks will tip over. Plot the results over the mud heightranging from zero to the top of the retaining wall in 0.2m-increments in the same graph as a).

c) Briefly comment on the results.

Answer & Explanation Solved by verified expert
4.1 Ratings (693 Votes)
Assumptions Atmospheric pressure acts on both sides of the wall and thus it can be ignored in calculations for convenience Properties The density is given to be 1800 kgm3 for the mud and 2700 kgm3 for concrete blocks    See Answer
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