Gce Model Questions Vol1 2021 Further Mathematics Question 44

Practice objective / multiple choice question 44 from the 2021 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2021 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 44 GCE_MODEL_QUESTIONS_VOL1 • 2021 • FURTHER_MATHEMATICS • objective

A uniform horizontal beam \(AB\) 6 m long is hinged at \(A\) to a wall. A cable attached at \(B\) makes an angle of \(30^{\circ}\) with the beam and supports the beam. The beam carries a downward point load of 800 N at a point 2 m from \(A\) and its own weight of 300 N acting at its centre. Determine (a) the tension \(T\) in the cable, (b) the horizontal and vertical components of the hinge reaction at \(A\). Give your answers in newtons, exact where possible.

Answer Options

A. T = 2500\/3 N; R_x = 1250√3\/3 N; R_y = 2050\/3 N
B. T = 2500\/3 N; R_x = -1250√3\/3 N; R_y = 1800\/3 N
Correct Answer C. T = 2500/3 N; R_x = -1250√3/3 N; R_y = 2050/3 N
D. T = 2000\/3 N; R_x = -1250√3\/3 N; R_y = 2050\/3 N
Correct Answer
C
Correct Option:
T = 2500/3 N; R_x = -1250√3/3 N; R_y = 2050/3 N

About This Question

This is Gce Model Questions Vol1 2021 Further Mathematics Question 44. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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