A uniform thin rod AB of length L has linear mass density `mu(x) = a + (bx)/(L)`, where x is measured from A. If the CM of the rod lies at a distance of `((7)/(12)L)` from A, then a and b are related as :_A. `2a = b`B. `3a = 2b`C. `a = 2b`D. `a = b`

A uniform thin rod AB of length L has linear mass density `mu(x) = a +

1.	A uniform thin rod AB of length L has linear mass density `mu(x) = a + (bx)/(L)`, where x is measured from A. If the CM of the rod lies at a distance of `((7)/(12)L)` from A, then a and b are related as :_A. `2a = b`B. `3a = 2b`C. `a = 2b`D. `a = b`
Answer» Correct Answer - A `x_(cm) = (int xdm)/(int dm)` `rArr (7L)/(12) = (int_(0)^(L)x(a + (bx)/(L)) dx)/(int_(0)^(L) (a + (bx)/(L)) dx)` Solving we get `2a = b`

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A uniform thin rod AB of length L has linear mass density `mu(x) = a + (bx)/(L)`, where x is measured from A. If the CM of the rod lies at a distance of `((7)/(12)L)` from A, then a and b are related as :_A. `2a = b`B. `3a = 2b`C. `a = 2b`D. `a = b`

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