Centroid of Standard Shapes (One-Dimensional Figure) in the context of Centroid is explained with following timestamps:

0:00 – Mechanics of Solid Lecture series
0:12 – Outlines on the session
0:35 – Length and Standard One-Dimensional Shapes
0:45 – Length and Centroid of Straight Wire
1:28 – Length and Centroid of Wire Ring
3:08 – Length and Centroid of Semi-Circular Wire
4:41 – Length and Centroid of Quarter Circular Wire
6:05 – Length and Centroid of Arc of Circle

Following points are covered in this video:
1. Length and Standard One-Dimensional Shapes Length and Centroid of Straight Wire
2. Length and Centroid of Wire Ring
3. Length and Centroid of Semi-Circular Wire
4. Length and Centroid of Quarter Circular Wire
5. Length and Centroid of Arc of Circle

Engineering Funda channel is all about Engineering and Technology. Here this video is a part of Mechanics of Solids or Engineering Mechanics.

#Centroid, #OneDimensionalSharpe, #StandardShape, #MechanicsOfSolids, #EngineeringFunda

Details of Centroid of Standard Shapes:

The centroid of a shape is the point at which the shape can be balanced on the tip of a pencil. For standard shapes, the centroid can be found using mathematical formulas. The centroid of some commonly used two-dimensional shapes are as follows:

Rectangle: The centroid of a rectangle is at its center, which is at the intersection of the two diagonals.

Circle: The centroid of a circle is at its center, which is also the center of mass.

Triangle: The centroid of a triangle is at the intersection of its medians. A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

Trapezoid: The centroid of a trapezoid is at a point along the line segment connecting the midpoints of the two parallel sides that is one-third the distance from the shorter parallel side.

Semi-circle: The centroid of a semi-circle is at a point that is two-thirds of the radius from the center along the diameter.

Parallelogram: The centroid of a parallelogram is at the intersection of its diagonals, which are the line segments connecting opposite corners.

Quarter circle: The centroid of a quarter circle is at a point that is three times the radius from the center along the radius.

These formulas can be used to find the centroid of any shape that can be divided into one of these standard shapes. The centroid of three-dimensional shapes can also be found using mathematical formulas, but these calculations are more complex than those for two-dimensional shapes.