52_Problem CHAPTER 10

52_Problem CHAPTER 10 - PROBLEM 10.47 A block of weight W...

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PROBLEM 10.47 A block of weight W is pulled up a plane forming an angle α with the horizontal by a force P directed along the plane. If µ is the coefficient of friction between the block and the plane, derive an expression for the mechanical efficiency of the system. Show that the mechanical efficiency cannot exceed 1 2 if the block is to remain in place when the force P is removed. SOLUTION Input work P x δ = ( ) Output work sin Wx αδ = Efficiency: sin sin or W Px P δα ηη == (1) 0: sin 0 or sin x FP F W P WF αα Σ= −− = = + (2) 0: cos 0 or cos
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.

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