Gce Model Questions Vol1 2022 Further Mathematics Question 18

Practice objective / multiple choice question 18 from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2022 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 18 GCE_MODEL_QUESTIONS_VOL1 • 2022 • FURTHER_MATHEMATICS • objective

A uniform beam \(AB\) 6 m long is hinged at \(A\) and rests on a roller at \(B\). A downward point load of 10 kN acts 2 m from \(A\). A cable attached at point \(C\) (4 m from \(A\)) makes an angle of \(30^{\circ}\) above the horizontal and carries tension \(T\). Determine (i) the tension \(T\) in the cable, (ii) the vertical reaction at \(B\), and (iii) the horizontal reaction at the hinge \(A\).

Answer Options

A. T = 12 kN; vertical reaction at B = 4 kN upward; horizontal reaction at A = 6\sqrt{3} kN
Correct Answer B. T = 10 kN; vertical reaction at B = 5 kN upward; horizontal reaction at A = 5\sqrt{3} kN
C. T = 10 kN; vertical reaction at B = 5 kN downward; horizontal reaction at A = 5\sqrt{3} kN
D. T = 8 kN; vertical reaction at B = 6 kN upward; horizontal reaction at A = 4\sqrt{3} kN
Correct Answer
B
Correct Option:
T = 10 kN; vertical reaction at B = 5 kN upward; horizontal reaction at A = 5\sqrt{3} kN

About This Question

This is Gce Model Questions Vol1 2022 Further Mathematics Question 18. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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