Question 14
A particle A A\,A of mass 2 kg lies on a rough plane inclined at 40° 40°\,40° to the horizontal. It is connected by a light inextensible string, passing over a smooth pulley, to a particle B B\,B of mass 3 kg which hangs vertically. The string is parallel to a line of greatest slope of the plane, and its tension is 23.4 N.
Take i\mathbf{i}i horizontally to the right and j\mathbf{j}j vertically upwards.
a.[3]
Find the force exerted by the string on the pulley in component form.
b.[3]
Find the magnitude and direction of this force.
c.[1]
The pulley is in equilibrium. State the force that its support must exert on it.
3.4 Forces Questions
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.