A uniform thin \( \operatorname{rod} A B \) of length \( L \) has linear mass P density \( \mu(x...

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A uniform thin \( \operatorname{rod} A B \) of length \( L \) has linear mass
P density \( \mu(x)=a+\frac{b x}{L} \), where \( x \), is measured from \( A \).

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If the \( C M \) of the rod lies at a distance of \( \left(\left(\frac{7}{12}\right) L\right) \) from \( A \), than \( a \) and \( b \) are related as:
(1) \( a=2 b \)
(2) \( 2 a=b \)
(3) \( a=b \)
(4) \( 3 a=2 b \)
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