SOLUTION: Could you guide me about this?!I can't understand what does it mean!!! A stick is slipping near the wall. Which curve is described by the midpoint M? p.s : this problem has a fig

Algebra ->  Equations -> SOLUTION: Could you guide me about this?!I can't understand what does it mean!!! A stick is slipping near the wall. Which curve is described by the midpoint M? p.s : this problem has a fig      Log On


   

Question 203859: Could you guide me about this?!I can't understand what does it mean!!!
A stick is slipping near the wall. Which curve is described by the midpoint M?
p.s : this problem has a figur and there are two stick in the figure ,so I think mybe the curve between to M in the question not one!!!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If y is the end of the stick leaning against the wall, and
x is the end of the stick on the ground, then
m+=+sqrt%28x%5E2+%2B+y%5E2%29%2F2 is the formula for the midpoint of the stick
m%5E2+=+%28x%5E2+%2B+y%5E2%29+%2F+4
x%5E2+%2B+y%5E2+=+4m%5E2
y%5E2+=+4m%5E2+-+x%5E2
y+=+sqrt%284+m%5E2+-+x%5E2%29
I'll make m= a constant,
m+=+1 and m+=+1%2F2 and I'll plot them
+graph%28+400%2C+400%2C+-3%2C+3%2C+-3%2C+3%2C+sqrt%284+-+x%5E2%29+%2C+sqrt%281+-+x%5E2%29%29
The plot of m is a semicircle. You can pick either the
1st or 2nd quadrant.