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Q.

The distance of centre of mass from end A of a one-dimensional rod (AB) having mass density ρ = ρ0x2 kg/m and length L (in meter) is 3Lαm. The value of α is......... (where x is the distance form end A)

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a

8

b

4

c

3

d

6

answer is B.

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Detailed Solution

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dm = λ.dx = λ0x2dx

Xcm = ∫xdm∫dm

= λ0∫0Lx3dx∫0Lλ0x2dx = L44L33 = 3L4

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