this is the problem of my curious mind(I am it's designer!) . three people each having the rope attached by the end of the 3 sides of triangle ABC , pull the triangle with speed U in the direction that the line passing from the hand of the people pass the center of the mass of the triangle(assume that the center of mass of the triangle is the origin , x=0,y=0 and it's coordinates are the same for all time intervals . at t=0 the triangle is equilateral .
A)does our triangle always remain equilateral?(I mean will it be transformed to scalene or isosceles?) can you prove it?
B)find the rate of change of the area inside of triangle? Is this rate constant?
C)draw the graph of rate of change of circumference..
D)find the rate of change of perimeter of the triangle.
conditions : ropes are unstreched (ideal) and the velocity of people are constant.
Ignore gravity.(this is a 2 dimensional problem)