Why Does a Sliding Rod Lose Contact with the Wall at Two Thirds Its Height?

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A uniform rod sliding down a wall loses contact with the wall when it reaches two-thirds of its original height. The problem requires determining the angle the rod makes with the ground at this point. The key to the solution involves proving that the sine of this angle equals 2/3. Understanding the dynamics of the sliding motion and applying trigonometric principles are essential for the proof. The conclusion highlights the relationship between the rod's height and the angle at which it loses contact.
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Hi, somebody can helps me with this problem...

A uniform rod of length L supported on a wall starts to slide down without
friction. Show that the upper end of the rod loses contact with the wall when it is
found two thirds of its original height.

Thanks
 
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You have to find the andle which the rod makes withthe ground and prove its sine to be 2/3
 
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