Explanation The tension in the cable C F is represented as T C F and the tension in the cable and the tension in the cable C E is represented as T C E . The free body diagram of the given arrangement is given by Figure 1. Figure 1 The position vector of the point D from E is given as, r D / E = ( 80 mm × 1 m 1000 mm ) i + ( 120 × 1 m 1000 mm ) j + ( 90 mm × 1 m 1000 mm ) k = 0.08 m i +0 .12 m j +0 .09 m k The position vector of the point C from F is given as, r C / F = ( 80 mm × 1 m 1000 mm ) i + ( 60 × 1 m 1000 mm ) j + ( 135 × 1 m 1000 mm ) k = 0.08 m i +0 .06 m j + 0.135 m k The vector C F → is given as C F → = − 0.08 i + 0.06 j and the vector D E → is given as D E → = 0.12 j − 0.09 k . The tension across the cable from E to D is given as, T D E = T D E D E → D E Here, T D E is the tension across the cable from E to D , D E → is the vector along the path of the points, D E is the magnitude of the vector. Substitute 0.12 j − 0.09 k for D E → and 0.15 for D E to get T D E . T D E = T D E 0.15 ( 0.12 j − 0.09 k ) = T D E ( 0.8 j − 0.6 k ) The tension across the cable from C to F is given as, T C F = T C F C F → C F Here, T C F is the tension across the cable from C to F , C F → is the vector along the path of the points, C F is the magnitude of the vector. Substitute − 0.08 i + 0.06 j for C F → and 0.1 for C F to get T C F

VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)

12th Edition

ISBN: 9781260916942

Author: BEER

Publisher: MCG

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When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial …

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Chapter 4.3, Problem 4.122P

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The tension in each cable and the reaction at A.

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Chapter 4.3, Problem 4.121P

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The tension in each cable and the reaction at A .

Solution Summary: The author explains the tension in each cable and the reaction at A. The free body diagram of the given arrangement is given by Figure 1.

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The tension in each cable and the reaction at A.

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