what is shearing describe shearing transformation with example
Answers
Explanation:
In plane geometry, a shear mapping is a linear map that displaces each point in fixed direction, by an amount proportional to its signed distance from the line that is parallel to that direction and goes through the origin.[1] This type of mapping is also called shear transformation, transvection, or just shearing.
An example is the mapping that takes any point with coordinates {\displaystyle (x,y)} (x,y) to the point {\displaystyle (x+2y,y)} (x+2y,y). In this case, the displacement is horizontal, the fixed line is the {\displaystyle x} x-axis, and the signed distance is the {\displaystyle y} y coordinate. Note that points on opposite sides of the reference line are displaced in opposite directions.
Answer:
Shearing, also known as die cutting, is a process which cuts stock without the formation of chips or the use of burning or melting. ... The most commonly sheared materials are in the form of sheet metal or plates, however rods can also be sheared.
Explanation: