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The grinder has a force of 400 N in the direction shown at the bottom. The grinder has a mass of 300 kg with the center of mass at G. The wheel at B is free to move (no friction). Determine the force in the hydraulic cylinder DF. Express your answer in newtons.

Answer :

The resultant force in the hydraulic cylinder DF can be determined by considering the equilibrium of forces and moments acting on the grinder.

A detailed explanation requires a clear understanding of the principles of statics and dynamics. First, we need to identify all forces acting on the grinder: gravitational force, which is the product of mass and acceleration due to gravity (300 kg * 9.8 m/s^2), force due to the grinder (400 N), and force in the hydraulic cylinder DF. Assuming the system is in equilibrium (i.e., sum of all forces and moments equals zero), we can create equations based on the force equilibrium in vertical and horizontal directions and the moment equilibrium around a suitable point, typically point G. Solving these equations gives us the force in the hydraulic cylinder DF.

Learn more about static equilibrium here:

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