Gce Model Questions Vol1 2019 Further Mathematics Question 31

Practice objective / multiple choice question 31 from the 2019 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2019 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 31 GCE_MODEL_QUESTIONS_VOL1 • 2019 • FURTHER_MATHEMATICS • objective

An uniform horizontal beam AB \(6\) m long is hinged at A to a wall. The beam weighs \(120\) N acting at its centre. A downward load of \(80\) N is applied \(2\) m from A. The beam is supported by a cable attached at point C, which is \(5\) m from A. The cable makes an angle of \(25^{\circ}\) above the beam. Determine (a) the tension in the cable (to the nearest newton) and (b) the vertical component of the reaction at the hinge.

Answer Options

A. Tension \(T \approx 2.80\times10^{2}\) N (≈ 280 N); vertical reaction at A \(R_{Ay}=84\) N upward.
B. Tension \(T \approx 2.46\times10^{2}\) N (≈ 246 N); vertical reaction at A \(R_{Ay}=108\) N upward.
C. Tension \(T \approx 2.10\times10^{2}\) N (≈ 210 N); vertical reaction at A \(R_{Ay}=126\) N upward.
Correct Answer D. Tension \(T \approx 2.46\times10^{2}\) N (≈ 246 N); vertical reaction at A \(R_{Ay}=96\) N upward.
Correct Answer
D
Correct Option:
Tension \(T \approx 2.46\times10^{2}\) N (≈ 246 N); vertical reaction at A \(R_{Ay}=96\) N upward.

About This Question

This is Gce Model Questions Vol1 2019 Further Mathematics Question 31. It is one of the objective questions from the 2019 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

View More Gce Model Questions Vol1 2019 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