Neco 2021 Further Mathematics Question 37

Practice objective / multiple choice question 37 from the 2021 Neco Further Mathematics examination.

Neco 2021 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 37 NECO • 2021 • FURTHER_MATHEMATICS • objective

A uniform rod AB of length \(4\) m and weight \(80\) N rests against a smooth vertical wall, making an angle of \(30^{\circ}\) with the horizontal ground. The ground is rough with coefficient of static friction \(\mu\). A weight of \(120\) N is hung from the rod at a point \(1\) m from the lower end A.\\n(a) Determine the minimum value of \(\mu\) required to keep the rod in equilibrium.\\n(b) Find the magnitude of the reaction force exerted by the ground on the rod (give your answer to the nearest newton).

Answer Options

A. Minimum \\(\\mu\\) ≈ 0.68; ground reaction ≈ 250 N
B. Minimum \\(\\mu\\) ≈ 0.50; ground reaction ≈ 210 N
Correct Answer C. Minimum \(\mu\) ≈ 0.61; ground reaction ≈ 234 N
D. Minimum \\(\\mu\\) ≈ 0.55; ground reaction ≈ 220 N
Correct Answer
C
Correct Option:
Minimum \(\mu\) ≈ 0.61; ground reaction ≈ 234 N

About This Question

This is Neco 2021 Further Mathematics Question 37. It is one of the objective questions from the 2021 Neco Further Mathematics examination.

Difficulty level: Hard .

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