Neco 2021 Further Mathematics Question 46

Practice objective / multiple choice question 46 from the 2021 Neco Further Mathematics examination.

Neco 2021 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 46 NECO • 2021 • FURTHER_MATHEMATICS • objective

An 8 m uniform beam AB is hinged at A to a vertical wall. The beam is supported by a cable attached at B that makes an unknown angle \(\theta\) with the horizontal. The beam carries a uniformly distributed load of intensity 200 N/m over its entire length and a point load of 500 N acting 3 m from A. The tension in the cable is 1200 N. Determine the angle \(\theta\) (to the nearest degree) and the horizontal and vertical components of the hinge reaction at A.

Answer Options

A. θ ≈ 60°, Ax ≈ 600 N (horizontal), Ay ≈ 1200 N (vertical)
Correct Answer B. θ ≈ 55°, Ax ≈ 682 N (horizontal), Ay ≈ 1113 N (vertical)
C. θ ≈ 45°, Ax ≈ 800 N (horizontal), Ay ≈ 1000 N (vertical)
D. θ ≈ 70°, Ax ≈ 500 N (horizontal), Ay ≈ 1300 N (vertical)
Correct Answer
B
Correct Option:
θ ≈ 55°, Ax ≈ 682 N (horizontal), Ay ≈ 1113 N (vertical)

About This Question

This is Neco 2021 Further Mathematics Question 46. It is one of the objective questions from the 2021 Neco Further Mathematics examination.

Difficulty level: Hard .

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