All Problems

The Fundamental Equation of Dynamics

Problem 1.77

Find the accelerations of rod⁡A\operatorname{rod} A and wedge BB in the arrangement shown in Fig. 1.20 if the ratio of the mass of the wedge to that of the rod equals η,\eta, and the friction between all contact surfaces is negligible.

Reveal Answer
wA=g/(1+ηcot⁡2α),wB=g/(tan⁡α+ηcot⁡α)w_{A}=g /\left(1+\eta \cot ^{2} \alpha\right), w_{B}=g /(\tan \alpha+\eta \cot \alpha)
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