Gce Model Questions Vol1 2017 Further Mathematics Question 39

Practice objective / multiple choice question 39 from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2017 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 39 GCE_MODEL_QUESTIONS_VOL1 • 2017 • FURTHER_MATHEMATICS • objective

A uniform horizontal beam \(AB\) 6 m long and weighing 120 N is hinged at \(A\) to a wall. The free end \(B\) is supported by a cable \(BD\) which is attached to a point \(D\) on the wall 4 m above \(A\). The cable makes an angle of \(30^{\circ}\) with the horizontal. Determine the tension in the cable and the horizontal and vertical components of the hinge reaction at \(A\). Give the tension in newtons and the reaction components in the form \(a\sqrt{3}\) N (if applicable).

Answer Options

A. Tension = 100 N; Horizontal reaction = 50√3 N (right); Vertical reaction = 70 N (up)
B. Tension = 150 N; Horizontal reaction = 40√3 N (right); Vertical reaction = 80 N (up)
C. Tension = 120 N; Horizontal reaction = 60√3 N (left); Vertical reaction = 60 N (down)
Correct Answer D. Tension = 120 N; Horizontal reaction = 60√3 N (right); Vertical reaction = 60 N (up)
Correct Answer
D
Correct Option:
Tension = 120 N; Horizontal reaction = 60√3 N (right); Vertical reaction = 60 N (up)

About This Question

This is Gce Model Questions Vol1 2017 Further Mathematics Question 39. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

View More Gce Model Questions Vol1 2017 Further Mathematics Questions More Gce Model Questions Vol1 Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support