Solution 9.6b

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Current revision (17:48, 18 May 2010) (edit) (undo)
 
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From part a) <math>\ T=1380 \text{ N}</math>.
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Resolving perpendicular to the hill,
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<math>\begin{align}
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& R+T\sin {{7}^{\circ }}-mg\cos {{5}^{\circ }}=0 \\
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& \\
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& R=mg\cos {{5}^{\circ }}-T\sin {{7}^{\circ }}=1600\times 9\textrm{.}81\times 0\textrm{.}996-1380\times 0\textrm{.}122= \\
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& =15633-168=15465\simeq 15500\ \text{N} \\
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\end{align}</math>

Current revision

Image:9.6.gif

From part a) \displaystyle \ T=1380 \text{ N}.

Resolving perpendicular to the hill,

\displaystyle \begin{align} & R+T\sin {{7}^{\circ }}-mg\cos {{5}^{\circ }}=0 \\ & \\ & R=mg\cos {{5}^{\circ }}-T\sin {{7}^{\circ }}=1600\times 9\textrm{.}81\times 0\textrm{.}996-1380\times 0\textrm{.}122= \\ & =15633-168=15465\simeq 15500\ \text{N} \\ \end{align}