Gce Model Questions Vol1 2020 Further Mathematics Question 48

Practice objective / multiple choice question 48 from the 2020 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2020 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 48 GCE_MODEL_QUESTIONS_VOL1 • 2020 • FURTHER_MATHEMATICS • objective

A uniform horizontal beam AB of length 6 m is hinged at A to a vertical wall. The free end B is attached to a cable AC that makes an angle of \(30^{\circ}\) with the horizontal and is anchored to the wall at point C vertically above A. The beam carries a downward load of 800 N applied at a point 2 m from A. Determine (i) the tension in the cable and (ii) the horizontal and vertical components of the reaction at the hinge A.

Answer Options

A. T = 1600/3 N; R_x = 800√3/3 N (right); R_y = 1600/3 N (up)
B. T = 800 N; R_x = -800√3/3 N (left); R_y = 800 N (up)
C. T = 1600/3 N; R_x = -800√3/3 N (left); R_y = -1600/3 N (down)
Correct Answer D. T = 1600/3 N; R_x = -800√3/3 N (left); R_y = 1600/3 N (up)
Correct Answer
D
Correct Option:
T = 1600/3 N; R_x = -800√3/3 N (left); R_y = 1600/3 N (up)

About This Question

This is Gce Model Questions Vol1 2020 Further Mathematics Question 48. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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