Neco 2019 Further Mathematics Question 33

Practice objective / multiple choice question 33 from the 2019 Neco Further Mathematics examination.

Neco 2019 Further Mathematics Objective / Multiple Choice Hard Difficulty

Question 33 NECO • 2019 • FURTHER_MATHEMATICS • objective

A uniform rod AB of length \(4\,\text{m}\) and weight \(80\,\text{N}\) is hinged at A to a vertical wall. The rod is held in equilibrium by a cable CD attached to B and to a point C on the wall that is \(\frac{4}{\sqrt{3}}\,\text{m}\) above A. The cable makes an angle of \(30^{\circ}\) with the rod. Determine (i) the tension \(T\) in the cable and (ii) the magnitude of the reaction force at the hinge A.

Correct Answer A. T=80\,N; \;|R|=40\sqrt{10}\,N

B. T=60\\,N; \\;|R|=40\\sqrt{5}\\,N

C. T=80\\,N; \\;|R|=80\\,N

D. T=80\\sqrt{3}\\,N; \\;|R|=40\\sqrt{10}\\,N

Correct Answer

Correct Option:

T=80\,N; \;|R|=40\sqrt{10}\,N

This is Neco 2019 Further Mathematics Question 33. It is one of the objective questions from the 2019 Neco Further Mathematics examination.

Difficulty level: Hard .

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