Rotational Motion Question 158
Question: Three identical rods are hinged at point A as shown. The angle made by rod AB with vertical is
Options:
A) ${{\tan }^{-1}}\left( \frac{1}{\sqrt{3}} \right)$
B) ${{\tan }^{-1}}\left( \frac{3}{4} \right)$
C) ${{\tan }^{-1}}\left( 1 \right)$
D) ${{\tan }^{-1}}\left( \frac{4}{3} \right)$
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Vertical line from hinge A must pass through C.M.
of rod system.
$\tan \theta =\frac{OP}{AP}\Rightarrow \frac{\ell /2}{2\ell /3}$
$\tan \theta =\frac{3}{4}\Rightarrow \theta ={{\tan }^{-1}}\left( \frac{3}{4} \right)$
