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Chapter 13: Q 4. (page 1038)

Identify the quantities determined by the integral expressions.

蚁(x,y) is density function.

鈭�惟xdAand鈭�惟ydA

Short Answer

Expert verified

The quanitities determined are moments.

Step by step solution

01

Given Information

It is given that expressions are

鈭�惟xdAand鈭�惟ydA

x,ymeasured in centimeters.

02

Identification of the quantities

鈭�惟xdArepresents first moment about yaxis having constant density function 蚁(x,y)=1

鈭�惟ydArepresents first moment about xaxis having constant density function 蚁(x,y)=1

Moment will me measured in grams/cm.

Hence, moment about yaxis is My=鈭�惟xdA

Moment aboutxaxis isMx=鈭�惟ydA

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