anyone plz help in this question
Answers
Answer:
12/7
Explanation:
Refer to the material.
Answer:
It's too simple dear
Linear density = linear mass density here in your question....
So £ (I can't type lambda) = dm/dx = (2+x)
dm = (2+x)dx
Now center of gravity = Integral( dwX) /Integral( dw ).... Where dw is weight of a small element.... dw = (dm) g
Where dm = mass of small element.....
COG = I ( dwX) / I (dw)
= I ( (dm)gX) / I ( (dm)g )
= I ( (2+x)dxgX) / I((2+x)dxg)
= I ( (2x+x^2)dxg)/ I((2+x)dxg)
= ( (x^2+(x^3)/3)g) / ((2x+(x^2)/2)g)
=12/7 m is your answer.... Integrate the expression above between limits 0m to 3m....
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