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I tried setting up the equations of motion and used Mathematica to solve them numerically. I get similar results to @haruspex 's post...
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I think the behavior is to be expected. Just after release, the block will pick up a small velocity in the 45-degree direction as shown...
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I believe the figure given in the problem statement is incorrect.
It should be as shown on the right. [Edit: Specifically, the string...