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I have a big problem with Mechanics. Can someone help?

My Mechanics III exam is in two weeks and it will cover the following topics. What mechanics textbook can I use for reading the these topics?

  1. Motion in 2 - dimensions (Use of Polar Coordinates)
  2. Circular Motion
  3. Conical Pendulum
  4. Constrained Motion in a circle (and vertical circle)
  5. Simple Harmonic Motion
  6. Motion in a resisting medium
    • Vertical Motion under Gravity
    • Damped Harmonic Motion
    • Projectiles in resisting motion
    • Variables Mass Motion
  1. Dynamics of Rigid Bodies
    • Product of Inertia, Principal axis
    • Momental Ellipse, Virtual work and D'Alembert's Principle

I must say that I've never known Mechanics. I used to memorise formulas for objective exams. But this time around, it's in theory and that won't work.

The lecturer recommended A Shorter Intermediate Mechanics by Humphrey and Toppings.

I've gone through this textbook and it was not explanatory for me at all.

I also did my own research and checked these textbook:

  • Goldstein Classical Mechanics
  • University Physics
  • Classical Mechanics by John R. Taylor

Of the three, I only found University Physics to be explanatory to an extent.

I'm searching for something that is more explanatory than it and is also self-explanatory.

Please, can you recommend textbooks or videos or anything that can help?

At this point, I'm frustrated and I would have given up but I want to try my best and also avoid guilt conscience.

I really appreciate any help I get in advance.

This is an example of what my exam questions look like.

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Qmechanic
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