Neco 2025 Further Mathematics Question 49

Practice objective / multiple choice question 49 from the 2025 Neco Further Mathematics examination.

Neco 2025 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 49 NECO • 2025 • FURTHER_MATHEMATICS • objective

A uniform beam 8 m long and weighing 200 N is hinged to a vertical wall at its left end. A cable is attached to the beam at a point 6 m from the hinge and makes an angle of \(45^{\circ}\) with the beam, being anchored to the wall above the hinge. A vertical prop provides an upward reaction \(R\) at a point 3 m from the hinge. Determine the tension \(T\) in the cable (in newtons) and the reaction \(R\) (in newtons) required for static equilibrium.

Answer Options

Correct Answer A. T = (200\sqrt2)/3 N, R = 400/3 N
B. T = (200\\sqrt2)\/2 N, R = 400\/2 N
C. T = (250\\sqrt2)\/3 N, R = 400\/3 N
D. T = (200\\sqrt2)\/3 N, R = 500\/3 N
Correct Answer
A
Correct Option:
T = (200\sqrt2)/3 N, R = 400/3 N

About This Question

This is Neco 2025 Further Mathematics Question 49. It is one of the objective questions from the 2025 Neco Further Mathematics examination.

Difficulty level: Hard .

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