The crate shown has a mass of m = 15 kg and is pulled by the rope as shown. If the coefficients of static and kinetic friction are u, = 0.30 and u = 0.20, provide answers for the following. Set 0 = 30°. 1. Draw the free-body diagram of the system. 2. Determine the normal force (N) developed by the floor on the crate. 3. Determine the frictional force (N) by equilibrium developed on the contacting surfaces of the floor and the crate. 4. Determine the frictional force (N) developed at the moment of the verge of sliding. 5. Determine the actual frictional force (N) produced by the contacting surfaces of the floor and the crate. State whether the crate will slide or not.

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Braced cuts

The braced cut is a method of providing lateral support to the soil in foundation trenches, to prevent the trenches from deformation by the caving in of soil and resisting it from moving laterally. During shallow excavation in firm soil, generally, slopes are provided to resist the caving in of soil. During shallow excavation in soft soil and deep excavation, the chances of caving in of soil increase. Hence, it becomes necessary to make a provision to resist the deformation of trenches due to caving in of soil. The braced cut is the method used for such conditions. The excavation using braced cuts is a bit uneconomical as compared to the traditional open-cut excavation method but provides better safety than the cut excavation method.