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.
139 exam-style questions on AQA A Level Maths 3.3 R: Forces and Newton's laws, covering 3.3.1 Concept of a force and Newton's first law, 3.3.2 Newton's second law, 3.3.3 Weight and motion under gravity, 3.3.4 Newton's third law and equilibrium, 3.3.5 Addition of forces and resultants (A-level only), and 3.3.6 Friction (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.