Neco 2025 Further Mathematics Question 40

Practice objective / multiple choice question 40 from the 2025 Neco Further Mathematics examination.

Neco 2025 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 40 NECO • 2025 • FURTHER_MATHEMATICS • objective

An 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 cable is attached at \(B\) and runs to a point \(D\) on the wall that is \(4\,\text{m}\) directly above \(A\). The beam carries a downward load of \(800\,\text{N}\) acting at its midpoint. Determine (i) the tension in the cable, and (ii) the horizontal and vertical components of the reaction at the hinge \(A\). Give your answers in exact form and to three significant figures where required.

Answer Options

A. (i) \\(T = 180\\sqrt{8}\\,\\text{N}\\) (≈ 5.09×10² N); (ii) \\(R_x = 320\\sqrt{6}\\,\\text{N}\\) (≈ 7.84×10² N right), \\(R_y = 720\\,\\text{N}\\) upward.
B. (i) \\(T = 250\\sqrt{5}\\,\\text{N}\\) (≈ 5.59×10² N); (ii) \\(R_x = 280\\sqrt{2}\\,\\text{N}\\) (≈ 3.96×10² N right), \\(R_y = 650\\,\\text{N}\\) upward.
Correct Answer C. (i) \(T = 200\sqrt{7}\,\text{N}\) (≈ 5.29×10² N); (ii) \(R_x = 300\sqrt{3}\,\text{N}\) (≈ 5.20×10² N right), \(R_y = 700\,\text{N}\) upward.
D. (i) \\(T = 210\\sqrt{6}\\,\\text{N}\\) (≈ 5.13×10² N); (ii) \\(R_x = 310\\sqrt{4}\\,\\text{N}\\) (≈ 6.20×10² N right), \\(R_y = 680\\,\\text{N}\\) upward.
Correct Answer
C
Correct Option:
(i) \(T = 200\sqrt{7}\,\text{N}\) (≈ 5.29×10² N); (ii) \(R_x = 300\sqrt{3}\,\text{N}\) (≈ 5.20×10² N right), \(R_y = 700\,\text{N}\) upward.

About This Question

This is Neco 2025 Further Mathematics Question 40. It is one of the objective questions from the 2025 Neco Further Mathematics examination.

Difficulty level: Hard .

View More Neco 2025 Further Mathematics Questions More Neco Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support