A) \[\frac{1}{2}m\]
B) \[\frac{1}{6}m\]
C) \[\frac{2}{3}m\]
D) \[\frac{1}{3}m\]
Correct Answer: B
Solution :
[b]: Block is under limiting friction, so \[\mu =\tan \theta \] ?(i) Equation of the surface, \[y=\frac{{{x}^{3}}}{6}\] Slope,\[\frac{dy}{dx}=\frac{{{x}^{2}}}{2}\] ?(ii) From eqns (i) and (ii),2 we get \[\mu =\frac{{{x}^{2}}}{2}\] Here, \[\mu =0.5\therefore 0.5=\frac{{{x}^{2}}}{2}\]or\[{{x}^{2}}=1\]or\[x=1\] So, \[y=\frac{1}{6}\]You need to login to perform this action.
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