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Forces and Motion

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Question 30

Two particles A A\,A and B B\,B have mass of 5m and km km\,km respectively, where k<5k < 5k<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 A\,A moves downwards with acceleration of magnitude 12g\displaystyle \frac{1}{2}g21​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.

a.

Explain why the acceleration of B B\,B also has magnitude 12g\displaystyle \frac{1}{2}g21​g

[1]
b.

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

[3]
c.

Find the value of kkk.

[3]
Markscheme

Forces and Motion Questions

  1. A Level
  2. /Maths
  3. /Forces and Motion

182 exam-style questions on Edexcel A Level Maths Forces and Motion, covering 10.1 Force Diagrams, 10.2 Forces as Vectors, 10.3 Forces and Acceleration, 10.4 Motion in 2 Dimensions, 10.5 Connected Particles, and 10.6 Pulleys. Each one has a worked solution and a mark scheme showing where the marks go.

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