Neco 2017 Further Mathematics Question 15

Practice objective / multiple choice question 15 from the 2017 Neco Further Mathematics examination.

Neco 2017 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 15 NECO • 2017 • FURTHER_MATHEMATICS • objective

A uniform beam \(AB\) is 8 m long and weighs 200 N, acting at its centre. The beam is supported by a pin at \(A\) and by a cable attached at \(B\) that makes an angle of \(45^{\circ}\) with the beam and is in tension. Determine (i) the tension \(T\) in the cable, and (ii) the magnitude and direction of the reaction at \(A\).

Answer Options

Correct Answer A. T = 100\sqrt{2}\text{ N}; Reaction at A = 100\text{ N upward and }100\text{ N horizontal (resultant }100\sqrt{2}\text{ N at }45^{\circ})
B. T = 100\\text{ N}; Reaction at A = 100\\text{ N upward and }100\\text{ N horizontal (resultant }150\\text{ N at }45^{\\circ})
C. T = 200\\sqrt{2}\\text{ N}; Reaction at A = 200\\text{ N upward and }0\\text{ N horizontal (resultant }200\\text{ N at }90^{\\circ})
D. T = 100\\sqrt{2}\\text{ N}; Reaction at A = 50\\text{ N upward and }50\\text{ N horizontal (resultant }70.7\\text{ N at }45^{\\circ})
Correct Answer
A
Correct Option:
T = 100\sqrt{2}\text{ N}; Reaction at A = 100\text{ N upward and }100\text{ N horizontal (resultant }100\sqrt{2}\text{ N at }45^{\circ})

About This Question

This is Neco 2017 Further Mathematics Question 15. It is one of the objective questions from the 2017 Neco Further Mathematics examination.

Difficulty level: Hard .

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