Gce Model Questions Vol1 2024 Further Mathematics Question 24

Practice objective / multiple choice question 24 from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2024 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 24 GCE_MODEL_QUESTIONS_VOL1 • 2024 • FURTHER_MATHEMATICS • objective

A uniform rod \(AB\) of length \(6\text{ m}\) is hinged at \(A\) to a vertical wall. The rod makes an angle of \(30^{\circ}\) with the horizontal. A weight of \(200\text{ N}\) is attached at the midpoint of the rod. A cable joins the end \(B\) to a point \(C\) on the wall directly above \(A\) at a height of \(4\text{ m}\). Determine (i) the tension in the cable and (ii) the horizontal and vertical components of the reaction at the hinge \(A\).

Answer Options

A. T = 55√7 N (≈146 N); R_x = 80√3 N (≈138 N) rightward, R_y = 185 N upward
Correct Answer B. T = 50√7 N (≈132 N); R_x = 75√3 N (≈130 N) rightward, R_y = 175 N upward
C. T = 50√8 N (≈141 N); R_x = 70√3 N (≈121 N) rightward, R_y = 180 N upward
D. T = 45√7 N (≈119 N); R_x = 70√3 N (≈121 N) rightward, R_y = 165 N upward
Correct Answer
B
Correct Option:
T = 50√7 N (≈132 N); R_x = 75√3 N (≈130 N) rightward, R_y = 175 N upward

About This Question

This is Gce Model Questions Vol1 2024 Further Mathematics Question 24. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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