   # Solve the preceding problem if the mass of the tailgate is M T — 11 kg and that of the crate is hi c — 6S kg. Use dimensions H = 305 mm, L = 406 mm, d c = 460 mm, and d T = 350 mm. The cable cross-sectional area is A t = 11.0 mm'. (a) Find the tensile Force T and normal stress T in each cable. (b) IF each cable elongates &amp; = 0.25 mm due to the weight or both the crate and the tailgate, what is the average strain in the cable? ### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347 ### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
Publisher: Cengage Learning
ISBN: 9781337093347
Chapter 1, Problem 1.4.12P
Textbook Problem
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## Solve the preceding problem if the mass of the tailgate is MT— 11 kg and that of the crate is hic— 6S kg. Use dimensions H = 305 mm,L = 406 mm, dc= 460 mm, and dT= 350 mm. The cable cross-sectional area is At= 11.0 mm'.(a) Find the tensile Force T and normal stress T in each cable.(b) IF each cable elongates & = 0.25 mm due to the weight or both the crate and the tailgate, what is the average strain in the cable? (a)

To determine

Tensile force T and normal stress σin each cable.

### Explanation of Solution

Given Information:

You have the following figure with all relevant information:

and

cross -sectional area Ae=11 mm.2

Calculation:

Consider the free body diagram as:

Take equilibrium of moments about pivot point as:

M=02Tsinθ×406=27×350×9.8+68×18×9.8T=27×350×9.8+68×18×9

(b)

To determine

Average strain in the cable.

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