In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A particle P P\,P of mass 10 kg is held in equilibrium by two light inextensible strings, A A\,A and BBB, attached to two fixed points.
String A A\,A makes an angle of 50° 50°\,50° with the horizontal and string B B\,B makes an angle of 35° 35°\,35° with the horizontal, on the opposite side of the vertical through PPP, as shown in the diagram.
Find the tension in string AAA.
Find the tension in string BBB.
87 exam-style questions on OCR (MEI) A Level Maths 3.4 Forces, covering 3.4.1 Language relating to forces, 3.4.2 Acceleration due to gravity, 3.4.3 Identify forces and draw force diagrams, 3.4.4 Resultant of concurrent forces, 3.4.5 Equilibrium of a particle, 3.4.6 Resolve a force into components (A-level only), 3.4.7 Equilibrium condition for resultant zero (A-level only), 3.4.8 Forces in equilibrium sum to zero (A-level only), 3.4.9 Equations for a particle in equilibrium (A-level only), 3.4.10 Frictional force and normal contact force (A-level only), 3.4.11 Model friction with F ≤ μR (A-level only), and 3.4.12 Apply Newton's Laws to friction problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.