Neco 2018 Further Mathematics Question 5

Practice objective / multiple choice question 5 from the 2018 Neco Further Mathematics examination.

Neco 2018 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 5 NECO • 2018 • FURTHER_MATHEMATICS • objective

A particle is acted upon by three coplanar forces: \(\vec{F}_{1}\) of magnitude \(10\text{ N}\) directed \(30^{\circ}\) above the positive \(x\)-axis, \(\vec{F}_{2}\) of unknown magnitude \(P\) directed \(150^{\circ}\) from the positive \(x\)-axis, and \(\vec{F}_{3}\) of unknown magnitude directed at an angle \(\theta\) below the positive \(x\)-axis. The particle is in equilibrium and the angle between \(\vec{F}_{2}\) and \(\vec{F}_{3}\) is \(120^{\circ}\). Determine \(P\) (to two decimal places) and \(\theta\) (in degrees, to the nearest integer).

Answer Options

A. P = 5.00 N, \\theta = 120^{\\circ}
B. P = 12.00 N, \\theta = 60^{\\circ}
C. P = 10.00 N, \\theta = 45^{\\circ}
Correct Answer D. P = 10.00 N, \theta = 90^{\circ}
Correct Answer
D
Correct Option:
P = 10.00 N, \theta = 90^{\circ}

About This Question

This is Neco 2018 Further Mathematics Question 5. It is one of the objective questions from the 2018 Neco Further Mathematics examination.

Difficulty level: Hard .

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