A) \[{{\tan }^{-1}}\left( \frac{1}{\sqrt{3}} \right)\]
B) \[{{\tan }^{-1}}\left( \frac{3}{4} \right)\]
C) \[{{\tan }^{-1}}\left( 1 \right)\]
D) \[{{\tan }^{-1}}\left( \frac{4}{3} \right)\]
Correct Answer: B
Solution :
[b] Vertical line from hinge A must pass through C.M. of rod system. \[\tan \theta =\frac{OP}{AP}\Rightarrow \frac{\ell /2}{2\ell /3}\] \[\tan \theta =\frac{3}{4}\Rightarrow \theta ={{\tan }^{-1}}\left( \frac{3}{4} \right)\]You need to login to perform this action.
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