Neco 2019 Further Mathematics Question 4

Practice objective / multiple choice question 4 from the 2019 Neco Further Mathematics examination.

Neco 2019 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 4 NECO • 2019 • FURTHER_MATHEMATICS • objective

A uniform beam AB of length 6 m is hinged at A to a vertical wall. The beam is supported by a cable CD attached at B, the cable making an angle of \(30^{\circ}\) above the beam. The beam carries a downward point load of 800 N located 2 m from A and its own weight of 300 N acting at its centre. Determine (i) the tension in the cable, (ii) the horizontal reaction at the hinge A, and (iii) the magnitude of the resultant reaction at A. Give your final answers to the nearest newton.

Answer Options

A. Tension \\(T \approx 900\\ \text{N};\\) Horizontal reaction \\(A_{x} \approx 650\\ \text{N};\\) Resultant \\(R \approx 1100\\ \text{N}.\\)
B. Tension \\(T \approx 750\\ \text{N};\\) Horizontal reaction \\(A_{x} \approx 800\\ \text{N};\\) Resultant \\(R \approx 1150\\ \text{N}.\\)
Correct Answer C. Tension \(T \approx 833\ \text{N};\) Horizontal reaction \(A_{x} \approx 722\ \text{N};\) Resultant \(R \approx 994\ \text{N}.\)
D. Tension \\(T \approx 820\\ \text{N};\\) Horizontal reaction \\(A_{x} \approx 710\\ \text{N};\\) Resultant \\(R \approx 980\\ \text{N}.\\)
Correct Answer
C
Correct Option:
Tension \(T \approx 833\ \text{N};\) Horizontal reaction \(A_{x} \approx 722\ \text{N};\) Resultant \(R \approx 994\ \text{N}.\)

About This Question

This is Neco 2019 Further Mathematics Question 4. It is one of the objective questions from the 2019 Neco Further Mathematics examination.

Difficulty level: Hard .

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