How would you divide an irregular shaped object into two equal parts ( containing same mass)?

HEREBY, I GIVE MY OWN THOERY ON “HOW TO DIVIDE AN IRREGULARLY SHAPED INTO TWO EQUAL HALF, CONTAINING SAME MASS?”

Finding the mass of a well-shaped regular object is much easier than finding the mass of an irregular object. Therefore, dividing into two equal half is much easier in a regular shaped object.

Before proceeding further, note that every irregularly shaped   object consists of a regular shaped object in it. We are goanna use it as a thumb rule to break down the question. The theory has its own constraints, I will say it at the end of the below example.

 Let us taken the below dia.  As an example To know how to divide an irregularly shaped object.

 

In the above given case, We can’t simply draw a straight line either horizontally or vertically to divide THEIR MASS INTO TWO EQUAL PARTS.  We have to calculate the mass of an irregularly shaped object into parts to figure out easily.

 As said, earlier every irregular object has its own regular object inside it. It may be a square, circle, rectangle, triangle or any well-shaped object. For the purpose of calculating the mass, we will first go with the shape that contains higher mass in it.

In the given example, it’s B, which contains more mass. L et take the value of mass of B is 100. In the second step , calculate the mass of other shapes . in the above example it’s A. LET TAKE THE VALUE AS 30.

NOW, WE have will have the total mass of an irregularly shaped object as 130, after using the above few simple steps.

Divide the bigger shaped object B Into two equal parts. Let it be c ( upper) and d (lower) 50 and 50. Since the mass of c will gets add to  a shaped object. We are goanna come up with a solution to get the correct line to divide the object into two equal parts.

 The solution is nothing but add the  mass  of  other objects and finding out the difference . The difference in value can be divided  by 2  and added to part, which has lower mass.

In the above case , the line has to be placed a little  up  and cut down into two pieces to get the same mass

Constraints of the above theory are:-

             The objects that make it regular has to be presented  only on side or may be opposites. But not circled around the main object.

            the  other objects around the main object must be also well-shaped object.

Thank you.  Free to comment.