A light fixture L L\,L is attached to a ceiling beam by a light inextensible cord. A horizontal pulling force of 50 N is applied to the fixture. The fixture is in equilibrium when the cord makes an angle of 15∘ 15^\circ\,15∘ with the vertical.
Find the tension in the cord.
Find the weight of the light fixture.
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.