Two blocks XXX (mass 10 kg) and YYY (mass 4 kg) are joined by a light inextensible string passing over a smooth pulley at the top of a fixed wedge. Block X X\,X rests on a smooth face inclined at 60∘ 60^\circ\,60∘ to the horizontal. Block Y Y\,Y rests on a rough face inclined at 30∘ 30^\circ\,30∘ to the horizontal. The coefficient of friction between block Y Y\,Y and the surface is 0.5. The system is released from rest with the string taut.
Find the tension in the string.
Find the acceleration of the system and the direction of travel.
49 exam-style questions on OCR (MEI) A Level Maths 3.5 Newton's Laws of Motion, covering 3.5.1 Meaning of Newton's three laws, 3.5.2 Equation of motion, 3.5.3 Equation of motion for a particle in a straight line, 3.5.4 Model a system of connected particles, 3.5.5 Equations of motion for individual particles, 3.5.6 System with no relative motion as a single particle, and 3.5.7 Equation of motion in a straight line or plane (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.