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A box is being pulled along a level floor at a constant velocity by means of...

A box is being pulled along a level floor at a constant velocity by means of a rope attached to the front end of the box. The rope makes an angle theta with the horizontal. Show that for a given mass m of the box and given coefficient of kinetic friction uk, the tension required in the rope is minimum if tan theta=uk. What is the tension in the rope when at this optimum angle?

The answer I found show taking the derivative respect to theta. Please explain in great detail how this is done and all the reasoning behind it not just an equation and solving a derivative. Please I need to picture this graphically and understand what is happening. please paint a good picture.

thank you

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