Normal strain of cable through arc

AI Thread Summary
The discussion revolves around understanding the mechanics of materials, particularly the behavior of a cable segment through an arc. The user is confused about the height remaining at 300mm during the arc's rotation, questioning if it should decrease. Clarification is provided that 300mm refers to the length of the rod segment from B to C, which remains constant despite the rotation. The law of cosines is suggested as a method to solve for the new strained triangle. This highlights the importance of distinguishing between length and height in mechanics problems.
coasterguy
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Homework Statement



See attachment

Homework Equations



eAB=(Lf-Lo)/(Lo)

The Attempt at a Solution



Ok, this is not for HW. I am preparing for a mechanics of materials class next semester. I don't understand when CB goes through the 0.3 degree arc, they say the height is still 300mm. Shouldn't it be slightly less than 300mm? If so, then I have only one angle and one non hypotenuse side, I can't figure out how to solve the rest of the new strained triangle.

Thank you!
 

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300 mm is not the height, it is the length of the part of the rod from B to C, which is unchanged after rotation. Then use the law of cosines as shown.
 
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