A block with a mass of 3.1 kg is placed at rest on a surface inclined at an angle of 45° above the horizontal. The coefficient of static friction between the block and the surface is 0.50, and a force of magnitude F pushes upward on the block, parallel to the inclined surface. (a) The block will remain at rest only if F is greater than a minimum value, Fmin, and less than a maximum value, Fmax. Explain the reasons for this behavior. (b) Calculate Fmin. (c) Calculate Fmax.
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