Gce Model Questions Vol1 2023 Further Mathematics Question 28

Practice objective / multiple choice question 28 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2023 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 28 GCE_MODEL_QUESTIONS_VOL1 • 2023 • FURTHER_MATHEMATICS • objective

A uniform beam \(AB\) of length 6\,m is hinged at \(A\) to a vertical wall. The beam makes an angle of \(30^{\circ}\) above the horizontal. A cable \(CD\) is attached to the beam at \(B\) and runs to a fixed point \(D\) on the wall directly above \(A\), 4\,m above \(A\). The beam carries its own weight of 200\,N acting at its centre and an additional load of 800\,N acting at the same point. Determine the tension in the cable \(CD\) (give your answer in newtons, exact form).

Answer Options

A. 250\sqrt{5}
B. 200\sqrt{7}
Correct Answer C. 250\sqrt{7}
D. 300\sqrt{7}
Correct Answer
C
Correct Option:
250\sqrt{7}

About This Question

This is Gce Model Questions Vol1 2023 Further Mathematics Question 28. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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