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A circular sector has a radius 5mm, and angle 31deg. Compute the centroid of the circular sector, Determine the y-coordinate of the centroid of the shaded area. y h/3=htan 30 htan 30= "/13 Centroid Equation Y = ZAY Calculation Table (ΣΑ h 2asin 30 \a J2 = 3(30)10 Jz= z = za 17 60° 130 60° A₁ = ±(2) A₂ = -πa² 60 Triangular Area ☑CED a+b Area of Circular Sector reina 643 7- 36 14, -643 - X PART A Ў Аў h² 2h 2h3 3 3√3 πTa Za 2 - πT πα 2h3 3-13 Σ - Ta² 2 EA = 6h²-13πa² 6√3 Y = 4h³ - > ΣAy = 4h³-2√3a² 2√3a3 6h2-13 πa² 613 1-20) L-a+an 2a) 4-1

A circular sector has a radius 5mm, and angle 31deg. Compute the centroid of the circular sector, Determine the y-coordinate of the centroid of the shaded area. y h/3=htan 30 htan 30= "/13 Centroid Equation Y = ZAY Calculation Table (ΣΑ h 2asin 30 \a J2 = 3(30)10 Jz= z = za 17 60° 130 60° A₁ = ±(2) A₂ = -πa² 60 Triangular Area ☑CED a+b Area of Circular Sector reina 643 7- 36 14, -643 - X PART A Ў Аў h² 2h 2h3 3 3√3 πTa Za 2 - πT πα 2h3 3-13 Σ - Ta² 2 EA = 6h²-13πa² 6√3 Y = 4h³ - > ΣAy = 4h³-2√3a² 2√3a3 6h2-13 πa² 613 1-20) L-a+an 2a) 4-1

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A circular sector has a radius 5mm, and angle 31deg. Compute the centroid of the circular sector,
Transcribed Image Text:A circular sector has a radius 5mm, and angle 31deg. Compute the centroid of the circular sector,
Determine the y-coordinate of the centroid of the shaded area. y h/3=htan 30 htan 30= "/13 Centroid Equation Y = ZAY Calculation Table (ΣΑ h 2asin 30 \a J2 = 3(30)10 Jz= z = za 17 60° 130 60° A₁ = ±(2) A₂ = -πa² 60 Triangular Area ☑CED a+b Area of Circular Sector reina 643 7- 36 14, -643 - X PART A Ў Аў h² 2h 2h3 3 3√3 πTa Za 2 - πT πα 2h3 3-13 Σ - Ta² 2 EA = 6h²-13πa² 6√3 Y = 4h³ - > ΣAy = 4h³-2√3a² 2√3a3 6h2-13 πa² 613 1-20) L-a+an 2a) 4-1
Transcribed Image Text:Determine the y-coordinate of the centroid of the shaded area. y h/3=htan 30 htan 30= "/13 Centroid Equation Y = ZAY Calculation Table (ΣΑ h 2asin 30 \a J2 = 3(30)10 Jz= z = za 17 60° 130 60° A₁ = ±(2) A₂ = -πa² 60 Triangular Area ☑CED a+b Area of Circular Sector reina 643 7- 36 14, -643 - X PART A Ў Аў h² 2h 2h3 3 3√3 πTa Za 2 - πT πα 2h3 3-13 Σ - Ta² 2 EA = 6h²-13πa² 6√3 Y = 4h³ - > ΣAy = 4h³-2√3a² 2√3a3 6h2-13 πa² 613 1-20) L-a+an 2a) 4-1
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