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The Fundamental Equation of Dynamics

Problem 1.66

A small body AA starts sliding down from the top of a wedge (Fig. 1.12)) whose base is equal to l=2.10 ml=2.10 \mathrm{~m}. The coefficient of friction between the body and the wedge surface is k=0.140.k=0.140 . At what value of the angle α\alpha will the time of sliding be the least? What will it be equal to?

Reveal Answer
tan⁡2α=−1/k,α=49∘;tmin⁡=1.0 s\tan 2 \alpha=-1 / k, \alpha=49^{\circ} ; t_{\min }=1.0 \mathrm{~s}
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