The factor of safety for tipping of the concrete dam is defined as the ratio of the stabilizing moment about O due to the dam’s weight divided by the overturning moment about O due to the water pressure. Determine this factor if the concrete has specific weight γ_conc and water has specific weight γ_w.

Given:

a = 3 ft

b = 15 ft

c = 9 ft

γ_w = 62.4lb/ft³

γ_conc = 150lb/ft³

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b.