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Forces and Motion

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Question 58

Two particles A A\,A and B B\,B have mass of 5m and 3m 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 kgkgkg.

Figure 1 shows particles A of mass 5m and B of mass 3m connected by a taut light string passing over a circular smooth fixed pulley, with A and B hanging vertically at different heights.

a.

Explain why the acceleration of B B\,B also has magnitude kgkgkg

[1]
b.

Find in terms of mmm, g g\,g and kkk, 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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