Forces and Motion

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Two particles $A\,$ and $B\,$ have mass of 5m and $km\,$ respectively, where $k < 5$ . The particles are connected by a light inextensible string which passes over a smooth, fixed pulley. The string is released from rest with the string taut and the hanging parts of the string vertical. In the subsequent motion $A\,$ moves downwards with acceleration of magnitude $34g\displaystyle \frac{3}{4}g$ .

Diagram for Question 13: A pulley system with two particles, A and B, connected by a string over a smooth, fixed pulley. Particle A has a mass of 5m and hangs vertically. Particle B has a mass of km and hangs vertically. The string is taut and the hanging parts are vertical.

Explain why the acceleration of $B\,$ also has magnitude $34g\displaystyle \frac{3}{4}g$

[1]

Find in terms of $m\,$ and $g$ , the tension in the string.

[3]

Find the value of $k$ .

[3]

Forces and Motion Questions

Practise Edexcel AS Level Maths Forces and Motion with exam-style questions for AS Level Maths. 15 questions covering Force Diagrams, Forces as Vectors, Forces and Acceleration, Motion in 2 Dimensions, Connected Particles, and Pulleys, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.