problem05_77

University Physics with Modern Physics with Mastering Physics (11th Edition)

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5.77: See Exercise 5.40. a) The maximum tension and the weight are related by ), sin ( cos max k max β T w β T - = μ and solving for the weight w gives . sin cos k max + = β μ β T w This will be a maximum when the quantity in parentheses is a maximum. Differentiating with respect to β , , 0 cos sin sin cos k k = + - = + d d or k tan θ = , where θ is the value of β that maximizes the weight. Substituting for
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Unformatted text preview: k in terms of , . sin sin sin cos sin cos sin cos max 2 2 max max T T T w = + = + = b) In the absence of friction, any non-zero horizontal component of force will be enough to accelerate the crate, but slowly....
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This document was uploaded on 02/04/2008.

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