The centre of mass of a non uniform rod of length L, whose mass per unit length varies as `rho=(k.x^2)/(L)` where k is a constant and x is the distance of any point from one end is (from the same end)A. `(3L)/4`B. `L/8`C. `K/L`D. `(3K)/L`

The centre of mass of a non uniform rod of length L, whose mass per un

1.	The centre of mass of a non uniform rod of length L, whose mass per unit length varies as `rho=(k.x^2)/(L)` where k is a constant and x is the distance of any point from one end is (from the same end)A. `(3L)/4`B. `L/8`C. `K/L`D. `(3K)/L`
Answer» Correct Answer - A `dm=(kx^(2))/Ldx, x_(cm)=(int_(0)^(L)xdm)/(int_(0)^(L)(kx^(2))/Ldx)=(((L^(4))/(4))/((L^(3))/(3)))=(3L)/4`

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The centre of mass of a non uniform rod of length L, whose mass per unit length varies as `rho=(k.x^2)/(L)` where k is a constant and x is the distance of any point from one end is (from the same end)A. `(3L)/4`B. `L/8`C. `K/L`D. `(3K)/L`

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