In this tutorial I look at two particles of different masses attached by an inextensible string passing over a smooth pulley where the strings hang vertically.

I tell you what assumptions are made and the effect they have.

You will be shown you how to set up the general equations of motion that you should then be able to apply in similar problems.

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Connected Particles - Vertical strings over a pulley : ExamSolutions Maths Revision

Height risen by one particle when the other hits the ground

In the video I show you how to calculate the greatest height reached by one particle when the other hits the ground. A tricky problem.

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Connected particles : Greatest height reached by a particle when the other hits the ground