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The centre of mass of a non uniform rod ...

The centre of mass of a non uniform rod of length `L` whose mass per unit length `lambda``=``K``x^2``//``L` where `K` is a constant and `x` is the distance from one end is
(A) `(3L)/(4)`
(B) `(L)/(8)`
(C) `(K)/(L)`
(D) `(3K)/(L)`

Answer

Step by step text solution for The centre of mass of a non uniform rod of length L whose mass per unit length lambda=Kx^2//L where K is a constant and x is the distance from one end is (A) (3L)/(4) (B) (L)/(8) (C) (K)/(L) (D) (3K)/(L) by PHYSICS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Knowledge Check

  • 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
    `(3/4)L`
    B
    `(1/4)L`
    C
    `(1/6)L`
    D
    `(2/3)L`

  • The centre of mass of a, non uniform rod of length L whose mass per unit length p varies as p = (kx^(2))/(L) where k: is a constant and x is the distance of any point from one end, is (from the same end):

    A
    `3/4 L`
    B
    `1/4 L`
    C
    `k/L`
    D
    `(3k)/(L)`

  • The centre of mass of a non uniform rod of length L whoose mass per unit length varies asp=kx^(2)//L , (where k is a constant and x is the distance measured form one end) is at the following distances from the same end

    A
    `3L//4`
    B
    `L//4`
    C
    `2L//3`
    D
    `L//3`

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