A crate of weight Fg is pushed by a force P S on a

Chapter 5, Problem 89

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A crate of weight Fg is pushed by a force P S on a horizontal floor as shown in Figure P5.89. The coefficient of static friction is ms, and P S is directed at angle u below the horizontal. (a) Show that the minimum value of P that will move the crate is given by P 5 ms Fg sec u 1 2 ms tan u (b) Find the condition on u in terms of ms for which motion of the crate is impossible for any value of P.

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