- #36
Tanya Sharma
- 1,540
- 135
ehild said:The blue dot was the origin of the coordinate system. with respect to it, the coordinates of the CM were [Lsinθ , -(Lcosθ+a/2)]. That is, the X coordinate is X=Lsinθ, the y coordinate is Y=-Lcosθ-a/2: Lsinθ=X, -Lcosθ=Y+a/2. Square both equations and add them:
X2+(Y+a/2)2=L2.
You got the equation of the circle the CM moves along. The centre is (0;-a/2). The radius is L. What was the guesswork?
ehild
Nice and simple. Thanks!
I didn't find the center ,the way you did . When I looked at the coordinates ,it struck to me that if I could shift the origin to (0,-a/2) ,that will do the trick .
That is the guesswork I was talking about .
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