PROBLEM SOLVING STRATEGIES :-
- BASIC STRATEGIES
- Solving Problem symbolically
- Checking units/dimensions
- Checking limiting/Special cases
- ADVANCED STRATEGIES
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- Getting Started:
- Read the problem slowly and carefully.
- Identify the things you know and the things you trying to find.
- Draw a picture.
- Draw a free body diagrams.
- Strip the problem down to its basic
- Choose wisely your co-ordinate system or reference frame.
- Identify the initial and final states of system
- Identify the constraints
- Convert numbers to letters so that you can solve things symbolically.
- Solving the Problem:
- Identify the physical principles involves.
- Convert physical statements into mathematical equations.
- Think initially in terms of physical statements rather than equations.
- Make sure you have as many facts / equations as unknown.
- Be organised.
- Trouble Shooting :
- Reduce the problem to an intermediate one.
- Exaggerate / change the parameters to understand their influence.
- Think about how the various quantities (known or unknown) are related.
- Quick Check :
- Check that you have incorporated all of the given information.
- Check your math.
- Check the signs in all equations
- Building on other Knowledge :
- Think of similar problems you know how to do.
- Think of a real time setup that behaves the same way.
- Solve a simpler problem.
- Helping your Brain Get Going :
- Explain (or imagine explaining) the solution to someone else.
- Imagine your teacher explaining the solution.
- When you can’t think of anything to do, just do some thing.
- Set the problem aside and go for a walk.
- Finishing up:
- Check limits and special cases
- Check units
- Check the rough size of numerical value.
- Looking ahead:
- Review the solution.
- Analyse where / why you went wrong.
- Think of another approach.
- Think of a variation or extension
- Getting Started:
How to Fall in Love with PHYSICS