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  • The centre of mass of non - unifrom nod of length L shows mass per unit length X varies as  where b is a constant

The centre of mass of non - unifrom nod of length L shows mass per unit length X varies as \lambda = bx^3 where b is a constant and x is the distance of any point on rod from left and A is (from the same end)

Option: 1

At centre of rod


Option: 2

 

At x= \frac{4L}{5}


Option: 3

 

At x= \frac{3L}{5}


Option: 4

 

At x= \frac{2L}{3}


Answers (1)

best_answer

 

X_{cm}=\frac{\int_{0}^{L}\lambda xdx}{\int_{0}^{L}\lambda dx}=\frac{\int_{0}^{L}bx^4dx}{\int_{0}^{L}bx^3dx}=\frac{\frac{L^5}{5}}{\frac{L^4}{4}}=\frac{4L}{5}

Posted by

manish painkra

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