Physics › Section C · Forces and Newton's laws › Topic C.5

Problem-solving with Newton's laws

A hanging sign, a cart pulled by a falling mass and two weights over a pulley look like different problems, but they all give way to the same four steps: choose a system, draw its forces, apply Newton's second law along each axis, and check the answer.

In this topic

  • Why a routine helps
  • Step 1: sketch the problem and choose the system
  • Step 2: draw the free-body diagram and pick axes
  • Steps 3 and 4: apply the second law, then check
  • Worked example: a sign on two cables
  • Bodies joined by strings
  • Worked example: a cart pulled by a hanging mass
  • Worked example: an Atwood machine
  • Choosing the system for a contact force
  • Common mistakes to avoid
  • Key takeaways

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