A) \[\frac{{{x}_{1}}+{{x}_{2}}}{{{x}_{1}}}\]
B) \[\frac{{{x}_{1}}+{{x}_{2}}}{{{x}_{2}}}\]
C) \[\frac{{{x}_{1}}}{{{x}_{1}}+{{x}_{2}}}\]
D) \[\frac{{{x}_{1}}}{{{x}_{1}}+{{x}_{2}}}\]
Correct Answer: D
Solution :
Torque about contact at A = 0 \[mgR\,=\mu R_{B}^{'}\,2R\] Or \[mg=2\mu R_{B}^{'}\] Torque about contact at B = 0 Gives \[mg=2\mu R_{A}^{'}\] So \[R_{A}^{'}\,=R_{B}^{'}\] But \[R_{A}^{'}\,={{k}_{1}}{{x}_{1}}\] And \[R_{B}^{'}\,={{k}_{2}}{{x}_{2}}\] So, \[{{k}_{1}}{{x}_{1}}\,={{k}_{2}}{{x}_{2}}\] \[\frac{{{k}_{1}}}{{{k}_{2}}}\,=\frac{{{x}_{2}}}{{{x}_{1}}}\]You need to login to perform this action.
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