A ladder is leaning against a smooth wall and | vedclass

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(A) Let the length of the ladder be $L$. The center of mass is at a distance $L/2$ from the bottom end. Let the angle with the floor be $	heta$. The

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(A) Let the length of the ladder be $L$. The center of mass is at a distance $L/2$ from the bottom end. Let the angle with the floor be $	heta$. The coordinates of the center of mass $(x, y)$ are given by $x = (L/2) \cos 	heta$ and $y = (L/2) \sin 	heta$. Squaring and adding these,we get $x^2 + y^2 = (L/2)^2 (\cos^2 	heta + \sin^2 	heta) = (L/2)^2$. This is the equation of a circle with radius $L/2$ centered at the origin (the corner where the wall meets the floor). Thus,the center of mass moves along a circular arc centered at the corner.

$A$ ladder is leaning against a smooth wall and is free to slide on a frictionless floor. Which of the following diagrams correctly represents the path of the center of mass of the ladder?

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