Neco 2020 Further Mathematics Question 49

Practice objective / multiple choice question 49 from the 2020 Neco Further Mathematics examination.

Neco 2020 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 49 NECO • 2020 • FURTHER_MATHEMATICS • objective

A uniform beam AB 8\,m long and weighing 240\,N is hinged to a vertical wall at A. The free end B is attached to a cable CD that makes an angle of \(30^{\circ}\) with the beam and is anchored to a point on the wall 6\,m above A. A downward load of 120\,N is applied at a point 3\,m from A. Determine the tension in the cable and the horizontal and vertical components of the hinge reaction at A.

Answer Options

Correct Answer A. Tension = 330 N; Horizontal reaction = 286 N (right); Vertical reaction = 195 N (upward)
B. Tension = 350 N; Horizontal reaction = 310 N (right); Vertical reaction = 180 N (upward)
C. Tension = 300 N; Horizontal reaction = 260 N (right); Vertical reaction = 210 N (upward)
D. Tension = 330 N; Horizontal reaction = 250 N (right); Vertical reaction = 220 N (upward)
Correct Answer
A
Correct Option:
Tension = 330 N; Horizontal reaction = 286 N (right); Vertical reaction = 195 N (upward)

About This Question

This is Neco 2020 Further Mathematics Question 49. It is one of the objective questions from the 2020 Neco Further Mathematics examination.

Difficulty level: Hard .

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