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Solutions to 8.01SC Classical Mechanics on MIT OCW

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[Mechanics] In problem 2.3's solution, friction is ignored even though the prompt does not state that the surface is frictionless. Why is that? If friction is not mentioned in the problem statement, should I ignore it?

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I found that part a was zero, but am struggling with part b

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[Calculus: Improper Integrals & Limit Comparison] Cannot figure out part b, but found that part a is zero.

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[Precalculus: Vectors] How do I find the tension in problem #87? This type of problem wasn't in examples.

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[Precalculus: Limits and Continuity] Can someone explain this example to me? Where does the interval (1, 3) come from?

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Just some questions I have about LVT.

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