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(a) Locate the centroid (x, y) of the member's cross-sectional area of the object shown in Fig. 3. This item features a semicircular notch at the bottom, with a radius of 25 mm. (b) Locate the center of mass (x, y, z) of this object. Assume it is homogeneous and has a length of 100 mm in the z-direction. Note: please pay attention to the direction of the coordinate axes to determine the correct coordinates. N 30 mm 60 mm 40 mm -50 mm 50 mm- Fig. 3 50 mm x Thin disk 1₁ = /mr² 1,-1,-1mr² Thin rectangular plate 1=m(b² + c²) 1,- mc² 1=mb²

(a) Locate the centroid (x, y) of the member's cross-sectional area of the object shown in Fig. 3. This item features a semicircular notch at the bottom, with a radius of 25 mm. (b) Locate the center of mass (x, y, z) of this object. Assume it is homogeneous and has a length of 100 mm in the z-direction. Note: please pay attention to the direction of the coordinate axes to determine the correct coordinates. N 30 mm 60 mm 40 mm -50 mm 50 mm- Fig. 3 50 mm x Thin disk 1₁ = /mr² 1,-1,-1mr² Thin rectangular plate 1=m(b² + c²) 1,- mc² 1=mb²

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter9: Mass And Mass-related Variables In Engineering
Section: Chapter Questions
Problem 4P
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(a) Locate the centroid (x, y) of the member's cross-sectional area of the object shown in Fig. 3. This item features a semicircular notch at the bottom, with a radius of 25 mm. (b) Locate the center of mass (x, y, z) of this object. Assume it is homogeneous and has a length of 100 mm in the z-direction. Note: please pay attention to the direction of the coordinate axes to determine the correct coordinates. N 30 mm 60 mm 40 mm -50 mm 50 mm- Fig. 3 50 mm x Thin disk 1₁ = /mr² 1,-1,-1mr² Thin rectangular plate 1=m(b² + c²) 1,- mc² 1=mb²
Transcribed Image Text:(a) Locate the centroid (x, y) of the member's cross-sectional area of the object shown in Fig. 3. This item features a semicircular notch at the bottom, with a radius of 25 mm. (b) Locate the center of mass (x, y, z) of this object. Assume it is homogeneous and has a length of 100 mm in the z-direction. Note: please pay attention to the direction of the coordinate axes to determine the correct coordinates. N 30 mm 60 mm 40 mm -50 mm 50 mm- Fig. 3 50 mm x Thin disk 1₁ = /mr² 1,-1,-1mr² Thin rectangular plate 1=m(b² + c²) 1,- mc² 1=mb²
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