A small smooth ring R of mass 0.2 kg is threaded onto a light inextensible string ARB. The two ends of the string are attached to points A and B on a sloping roof inclined at 45° to the horizontal. A horizontal force of magnitude PN, acting in the plane ARB, is applied to the ring. The section BR of the string is perpendicular to the roof and the section AR of the string is inclined at 70° to the horizontal (see diagram). The system is in equilibrium. Find the tension in the string and the value of P.

Q: What topic does this question test?

This question tests Mechanics in A-Level Mathematics (syllabus code 9709). It is worth 4 marks.

Q: Which exam paper is this question from?

This question appeared in the Cambridge A-Level Mathematics Oct/Nov 2018 examination, Paper 4 Variant 3 (9709_w18_qp_43.pdf).

Question

A small smooth ring R of mass 0.2 kg is threaded onto a light inextensible string ARB. The two ends of the string are attached to points A and B on a sloping roof inclined at 45° to the horizontal. A horizontal force of magnitude PN, acting in the plane ARB, is applied to the ring. The section BR of the string is perpendicular to the roof and the section AR of the string is inclined at 70° to the horizontal (see diagram). The system is in equilibrium. Find the tension in the string and the value of P.

Oracle Prep · Accepted Answer

Sign up to Oracle Prep to view the full model answer with examiner insights.

📋 Examiner Report & Trap Analysis

🎯 Mark Scheme Breakdown

Unlock the Examiner's Analysis

About This A-Level Mathematics Question

Topic

Source

Practice on Oracle Prep

Related Mathematics Questions