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Newtonian Acceleration and Tension on a String

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See attached graph.

Two blocks of masses m and 4m are connected by a light string passing over a fixed pulley as shown in the figure. The mass 4m is on a smooth horizontal surface and is pushed toward the left by a constant horizontal force F.

(a) What value of F will give the system an acceleration of 0.4g?

(b) Find the tension in the string when F has the value determined in (a)?

(c) What happens when F>4mg? [for question (c) the answer in the book is: mass m has a=g; and mass 4m has a>g these two possibilities for a, considering that both masses constitutes a system, is causing some perplexity...].

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The solution discusses Newtonian Acceleration and tension on a string.

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