Gce Model Questions Vol1 2023 Further Mathematics Question 19

Practice objective / multiple choice question 19 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2023 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 19 GCE_MODEL_QUESTIONS_VOL1 • 2023 • FURTHER_MATHEMATICS • objective

A uniform beam \(AB\) of length \(6\text{ m}\) is hinged at \(A\) to a vertical wall. The beam makes an angle of \(30^{\circ}\) above the horizontal. A weight of \(800\text{ N}\) hangs from its end \(B\). A cable is attached to the beam at point \(D\) located \(2\text{ m}\) from \(A\) along the beam and runs vertically upward, exerting a tension \(T\). Determine the tension \(T\) in the cable and the magnitude and direction of the reaction force at the hinge \(A\).

Answer Options

A. T = 3000 N; hinge reaction = 1600 N upwards
Correct Answer B. T = 2400 N; hinge reaction = 1600 N downwards
C. T = 2400 N; hinge reaction = 1200 N downwards
D. T = 1800 N; hinge reaction = 2000 N upwards
Correct Answer
B
Correct Option:
T = 2400 N; hinge reaction = 1600 N downwards

About This Question

This is Gce Model Questions Vol1 2023 Further Mathematics Question 19. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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