Find the position vectors:
$$ \begin{array}{l} \mathrm{AB}=2.1 \mathrm{i}+1.4 \mathrm{j}-5 \mathrm{k} \mathrm{m} \\ \mathrm{AC}=2.1 \mathrm{i}-2.1 \mathrm{j}-5 \mathrm{k} \quad \mathrm{m} \end{array} $$
Find the unit vectors:
$$ \begin{array}{l} \lambda_{\mathrm{AB}}=\frac{2.1 \mathrm{i}+1.4 \mathrm{i}-5 \mathrm{k}}{\sqrt{2.1^{2}+1.4^{2}+(-5)^{2}}} \\ \lambda_{\mathrm{AC}}=\frac{2.1 \mathrm{i}-2.1 \mathrm{j}-5 \mathrm{k}}{\sqrt{2.1^{2}+(-2.1)^{2}+(-5)^{2}}} \end{array} $$
Find thetension vector:
$$ \mathbf{T}=T \lambda_{\mathrm{AB}}=2.5 \frac{2.1 \mathrm{i}+1.4 \mathrm{i}-5 \mathrm{k}}{\sqrt{2.1^{2}+1.4^{2}+(-5)^{2}}} \cdot=0.937 \mathrm{i}+0.625 \mathrm{j}-2.33 \mathrm{k} \mathrm{kN} $$
Find the projection of the \(\mathrm{T}\) along \(A C\) :
$$ \begin{aligned} \text { Projection } T_{A C} &=\mathbf{T} \cdot \lambda_{\mathrm{AC}} \\ &=(0.937 \mathrm{i}+0.625 \mathrm{j}-2.33 \mathrm{k}) \cdot\left(\frac{2.1 \mathrm{i}-2.1 \mathrm{j}-5 \mathrm{k}}{\sqrt{2.1^{2}+(-2.1)^{2}+(-5)^{2}}}\right) \\ &=2.11 \mathrm{kN} \end{aligned} $$
The turnbuckle is tightened until the tension in the cable AB equals 2.5 kN. Determine the...
Chapter 2, Problem 2/094 The turnbuckle is tightened until the tension in the cable AB equals 2.7 kN. Determine the vector expression for the tension T as a force acting on member AD. Also find the magnitude of the projection of T along the line AC.
The turnbuckle is tightened until the tension in cable AB is 9.9 kN. Determine the magnitude of the moment about point O of the cable force acting on point A to the nearest 0.01kN-m.
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Question 3 A turnbuckle (Figure Q3) is tightened until the tension T in the cable AB is 2.4 kN. 2 m 0.8 m Figure Q3: Turnbuckle and cable. Write down the coordinates (in metres relative to the origin) of the points labelled O, A and B. (a) [2 Marks] (b) Express the tension T in terms of the Cartesian component vectors Lj and A 3 Marks] (c) Determine the moment Mo about the base O of the cable force acting...
Problem 2: The turnbuckle is tightened until the tension in cable AE is 8kN. Create proper R-vectors for three cables AB, AC and AD. Develop three force vectors using R-vectors (unitize R-vectors). Show three EOE that you will solve to find tensions in AB, Be and CB. Show RREF matrix that you will use to solve for tensions. Show all tensions on an FBD with values AC 2.5 m 2 m D ECODS,a.) 2.5 m & KN EX 2.5 m...
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Chapter 2, Reserve Problen 2/011 cable AB is 93.67% of the weight of the cylinder of mass m, while the tension in cable AC is 60.194% of the suspended weight. write each tension torce acting developed in Chapter 3, you will soon be able to verity that the tension an point A as a vector if the mass m is 75 kg 0.8 m 25m 1.1m Аляwors ТАв - ТАс-, Chapter 2, Reserve Problen 2/011 cable AB is 93.67% of...
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PRINTER VERSION BACK Chapter 2, Reserve Problem 2/082 ?incorrect The cable exerts a tension of 5.0 kN on the fixed bracket at A. Write the vector expression for the tension T. I 06 m 04 m T-50 KN 02 m 1.4 m Answer: Click if you would like to Show Work for this question: Qcen Show Work Question Attempts: Unlimited SAVE FOR LATER URNIT ANSIWKER om/ed aglist.uniid asmt2228379 N10008