Explanation Given: x 2 + y 2 = b 2 , ρ = k , x = a ( a > b ) Formula Used: m = ∫ x 1 x 2 ∫ y 1 y 2 ρ ( x , y ) d y d x M x = ∫ x 1 x 2 ∫ y 1 y 2 y ⋅ ρ ( x , y ) d y d x M y = ∫ x 1 x 2 ∫ y 1 y 2 x ⋅ ρ ( x , y ) d y d x ( x ¯ , y ¯ ) = ( M y m , M x m ) I x = ∫ x 1 x 2 ∫ y 1 y 2 y 2 ⋅ ρ ( x , y ) d y d x I y = ∫ x 1 x 2 ∫ y 1 y 2 x 2 ⋅ ρ ( x , y ) d y d x I 0 = ∫ x 1 x 2 ∫ y 1 y 2 ( x 2 + y 2 ) ⋅ ρ ( x , y ) d y d x x ¯ ¯ = I y m y ¯ ¯ = I x m Where ( x 1 , x 2 ) and ( y 1 , y 2 ) are the limits of the integration

6th Edition

ISBN: 8220100475559

Author: Edwards

Publisher: YUZU

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Chapter 14.4, Problem 37E

To determine

To Calculate: The moment of inertia about the given line, using a computer algebra system.

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Chapter 14.4, Problem 36E

Chapter 14.4, Problem 38E

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Chapter 14 Solutions

EBK CALCULUS: EARLY TRANSCENDENTAL FUNC

Ch. 14.1 - Evaluate the iterated integral: 0433cosrdrd Ch. 14.1 - Prob. 1E Ch. 14.1 - Evaluate the integral: xx2yxdy Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Evaluate the integral: 04x2x2ydy Ch. 14.1 - Evaluate the integral: x3x(x2+3y2)dy Ch. 14.1 - Evaluate the integral: eyyylnxxdx;y0 Ch. 14.1 - Evaluate the integral: 1y21y2(x2+y2)dx Ch. 14.1 - Evaluate the integral: 0x2yeyxdy

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The moment of inertia about the given line, using a computer algebra system.

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Chapter 14 Solutions