A) \[\frac{\sqrt{3}}{2}\]
B) \[\frac{\sqrt{3}}{4}\]
C) \[\frac{1}{2}\]
D) \[\frac{2}{3}\]
Correct Answer: A
Solution :
\[mg\,\sin \theta +2=\mu \,mg\cos \,\theta \] ? (1) |
\[10-mg\,\sin \,\theta =\mu \,mg\,\cos \theta \] ? (2) |
On adding: (1) + (2) |
\[12=\mu mg\frac{\sqrt{3}}{2}:\mu mg=\frac{12}{\sqrt{3}}\] |
On (1) +(2) \[8=2mg\times \frac{1}{2};\] |
\[Mg=8;\] |
\[\mu =\frac{\sqrt{3}}{2}.\] |
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