Neco 2022 Further Mathematics Question 31

Practice objective / multiple choice question 31 from the 2022 Neco Further Mathematics examination.

Neco 2022 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 31 NECO • 2022 • FURTHER_MATHEMATICS • objective

A right‑angled triangular lamina has base \(6\) m along the x‑axis and height \(8\) m along the y‑axis. Its weight is \(240\) N and acts at the centre of mass. The lamina is supported by a pin at the right‑angle vertex \(A\) and by a rope attached at the midpoint \(M\) of the hypotenuse. The rope makes an angle of \(30^{\circ}\) above the horizontal, directed towards the left. Determine (a) the tension in the rope (to the nearest newton) and (b) the magnitude of the vertical reaction at the pin (to the nearest newton).

Answer Options

A. Tension \\(\\approx 95\\) N, vertical reaction \\(\\approx 210\\) N
B. Tension \\(\\approx 85\\) N, vertical reaction \\(\\approx 180\\) N
C. Tension \\(\\approx 110\\) N, vertical reaction \\(\\approx 200\\) N
Correct Answer D. Tension \(\approx 97\) N, vertical reaction \(\approx 192\) N
Correct Answer
D
Correct Option:
Tension \(\approx 97\) N, vertical reaction \(\approx 192\) N

About This Question

This is Neco 2022 Further Mathematics Question 31. It is one of the objective questions from the 2022 Neco Further Mathematics examination.

Difficulty level: Hard .

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