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A thin rod of length L is lying along the x-axis with its ends at x = 0 and x = L. Its linear density (mass/length) varies with x as k(x/L)n, where n can be zero or any positive  number. If the position xCM of the centre of mass of the rod is plotted against n, which of the following graphs best approximates the dependence of xCM on n ?

1 Answer

+1 vote
by (64.1k points)
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Best answer

Correct Option (a)

Explanation:

As n increases, the centre of mass shift away from x = L/2 towards x = L which only option (a) is satisfying.

Alternately, you can use basic concept.

 

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