Neco 2022 Further Mathematics Question 43
Practice objective / multiple choice question 43 from the 2022 Neco Further Mathematics examination.
A uniform beam \(AB\) 6 m long and weighing 120 N is hinged at \(A\) to a vertical wall. The beam makes an angle of \(30^{\circ}\) with the horizontal. A cable is attached at point \(C\) on the beam, 4 m from \(A\), and runs to a wall point \(D\) that is 3 m horizontally from \(A\) and 4 m above \(A\). The cable therefore makes an angle of \(45^{\circ}\) with the beam. Determine (i) the tension in the cable (in newtons, to one decimal place) and (ii) the magnitude of the reaction force at the hinge (in newtons, to one decimal place).
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About This Question
This is Neco 2022 Further Mathematics Question 43. It is one of the objective questions from the 2022 Neco Further Mathematics examination.
Difficulty level: Hard .
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