A rod length L and mass M is placed along the x−axis with one end at the origin, as shown in the figure above. The rod has linear mass density λ=L22Mx, where x is the distance from the origin. Which of the following gives the x−coordinate of the rod's center of mass?

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A rod length {L} and mass {M} is placed along the {x}-axis wit

Question

A rod length $L$ and mass $M$ is placed along the $x - a x i s$ with one end at the origin, as shown in the figure above. The rod has linear mass density $λ = \frac{2 M}{L ^{2}} x$ , where $x$ is the distance from the origin. Which of the following gives the $x - coor d ina t e$ of the rod's center of mass?

\frac{2}{3} L

\frac{1}{4} L

\frac{1}{3} L

\frac{1}{2} L

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A rod length

L

and mass

M

is placed along the

x - a x i s

with one end at the origin, as shown in the figure above. The rod has linear mass density

λ = \frac{2 M}{L ^{2}} x

, where

x

is the distance from the origin. Which of the following gives the

x - coor d ina t e

of the rod's center of mass?

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Question Text	A rod length $L$ and mass $M$ is placed along the $x - a x i s$ with one end at the origin, as shown in the figure above. The rod has linear mass density $λ = \frac{2 M}{L ^{2}} x$ , where $x$ is the distance from the origin. Which of the following gives the $x - coor d ina t e$ of the rod's center of mass?
Answer Type	Video solution: 1
Upvotes	151