10- Practice problem for the x and y coordinates of a trapezoid
Practice problem for the x and y coordinates of a trapezoid. A step by step guide is given by using two options
First moment of area-plain shapes
A complete illustration for the first moment of area, how to determine the area by the integration? How to get the distance of Cg for a given axis? Plain areas are illustrated.
9- Easy approach to Area and Cg for a Parallelogram.
The post includes the steps needed to get the area and Cg for a Parallelogram. This is done by getting the first moments of areas about two external axes.
8- Easy illustration for Area and Cg of a Trapezium.
The post includes the steps needed to get the area and CG of a Trapezium. This is done by getting the first moments of areas about two external axes.
7- How to find Area and Cg for a rectangle?
How to determine the area and Cg for a rectangle? The rectangle area and GC values are obtained by integration of infinitesimal area about external axes.
6- Easy steps to find the area and Cg of a triangle.
How to determine the area and Cg of a triangle? Divide Triangle into two right-angle triangles and use to find get X bar and y bar for the triangle.
5-Y bar for a right angle case-2.
How to estimate y bar for a right angle case-2 by using a horizontal and a vertical strip? the process includes area estimation.
4- Easy steps for X bar for a right angle case-2.
How to estimate x bar for a right angle case-2 by using a horizontal and a vertical strip? Detailed steps are included in the post.
3a- Y bar for a right angle-case-1-using vertical strip.
How to estimate Y bar for a right angle-case-1-using vertical strip? using the integration to get area and Cg distance.
3-How to determine y bar for a right angle-case-1?
How to estimate y bar for a right angle triangle case-1 by using a horizontal strip? There are detailed steps to get the expression for the y bar.
2a- X bar for a right angle-case-1-using vertical strip.
How to estimate X bar for a right angle-case-1 by using a vertical strip? step by step guide to get the final expression.
2-How to determine x bar for a right angle-case-1?
How to estimate x bar for a right angle triangle case-1 by using a horizontal strip?
1-What is the First moment of area?
The lecture includes definitions for the area, Cg of an area, and the first moment of area, Moment of inertia, and product of inertia.