Gce Model Questions Vol1 2018 Further Mathematics Question 29

Practice objective / multiple choice question 29 from the 2018 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2018 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 29 GCE_MODEL_QUESTIONS_VOL1 • 2018 • FURTHER_MATHEMATICS • objective

A uniform beam \(AB\) of length \(6\text{ m}\) and weight \(240\text{ N}\) is hinged at \(A\) to a vertical wall. The beam is held horizontal and is supported by a cable \(BD\) attached to the free end \(B\) and anchored to a point \(D\) on the wall directly above \(A\). The cable makes an angle of \(30^{\circ}\) with the horizontal. Determine (a) the tension in the cable, and (b) the magnitude and direction of the reaction force at the hinge \(A\). Express the direction as the angle above the horizontal.

Answer Options

Correct Answer A. Tension = 240 N; Reaction = 240 N at 30° above the horizontal
B. Tension = 200 N; Reaction = 200 N at 25° above the horizontal
C. Tension = 240 N; Reaction = 260 N at 30° above the horizontal
D. Tension = 260 N; Reaction = 260 N at 35° above the horizontal
Correct Answer
A
Correct Option:
Tension = 240 N; Reaction = 240 N at 30° above the horizontal

About This Question

This is Gce Model Questions Vol1 2018 Further Mathematics Question 29. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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