1
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
Consider a solid rod of mass $m$ and uniform density resting against a vertical wall and horizontal floor as shown in the figure. The coefficients of friction of the rod with the wall and with the floor are given to be $\mu_1$ and $\mu_2$ respectively. Gravity is acting downwards with acceleration due to gravity $g$. What should be the value of the inclination angle $\alpha$ so that the rod stays in equilibrium?
A
$\tan ^{-1}\left(\frac{\mu_1}{\mu_2}\right)$
B
$\tan ^{-1}\left(\frac{1-\mu_2}{2 \mu_1 \mu_2}\right)$
C
$\tan ^{-1}\left(\frac{1-\mu_1 \mu_2}{2 \mu_2}\right)$
D
$\tan ^{-1}\left(\frac{\mu_2}{\mu_1}\right)$ $$ N_1=f_2=\mu_2 N_2 $$
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