Determine the moment of inertia for the shaded area about the x axıs

Marenonigt

Marenonigt

Answered

2022-01-14

Determine the moment of inertia for the shaded area about the x axıs
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Answer & Explanation

enlacamig

enlacamig

Expert

2022-01-15Added 30 answers

Write the equation of the shaded area.
y2=x
x=y2
Consider a rectangular differential element with respect to the y-axis with a thickness dy and intersects the boundary at (x, y).
Express the area of the differential element parallel to the x-axis.
dA=xdy
Substitute y2 for x.
dA=y2dy
Calculate the moment of inertia for the shaded area about the x-axis.Ix=Ay2dA
Substitute y2dy
Ix=04 in.y2(y2dy)
Ix=04 in.(y4dy)
Ix=y5704 in.
=(4 in.)507
=204.8 in4

sonorous9n

sonorous9n

Expert

2022-01-16Added 34 answers

at the end, should be 1/5 instead of 1/7
alenahelenash

alenahelenash

Expert

2022-01-23Added 366 answers

Yes, it should be y55

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