Neco 2023 Further Mathematics Question 30

Practice objective / multiple choice question 30 from the 2023 Neco Further Mathematics examination.

Neco 2023 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 30 NECO • 2023 • FURTHER_MATHEMATICS • objective

A uniform ladder 6 m long and weighing 180 N rests against a smooth vertical wall and a rough horizontal floor. The coefficient of static friction between the ladder and the floor is \(\mu\). The ladder makes an angle \(\theta\) with the floor and is on the verge of slipping. (a) Derive an expression for \(\mu\) in terms of \(\theta\). (b) If \(\mu = 0.30\), calculate the minimum angle \(\theta_{\min}\) (in degrees) for which the ladder will not slip.

Answer Options

A. μ = (1\/2)·cotθ; θ_min ≈ 45°
B. μ = (1\/2)·tanθ; θ_min ≈ 45°
C. μ = 2·cotθ; θ_min ≈ 30°
Correct Answer D. μ = (1/2)·cotθ; θ_min ≈ 59°
Correct Answer
D
Correct Option:
μ = (1/2)·cotθ; θ_min ≈ 59°

About This Question

This is Neco 2023 Further Mathematics Question 30. It is one of the objective questions from the 2023 Neco Further Mathematics examination.

Difficulty level: Hard .

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