Mathematics: Mechanics 3

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A-level Maths (M3) Mind Map on Mathematics: Mechanics 3, created by declanlarkins on 27/01/2014.
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Mind Map by declanlarkins, updated more than 1 year ago More Less
declanlarkins
Created by declanlarkins almost 11 years ago
declanlarkins
Copied by declanlarkins almost 11 years ago
declanlarkins
Copied by declanlarkins almost 11 years ago
declanlarkins
Copied by declanlarkins almost 11 years ago
declanlarkins
Copied by declanlarkins almost 11 years ago
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Resource summary

Mathematics: Mechanics 3
  1. Equilibrium of Rigid Bodies in Contact
    1. Newton's third Law
      1. Jointed rod problems
    2. Elastic Strings and Springs
      1. Solve problems involving forces from elastic strings or springs
        1. Elastic potential energy stored
          1. Hooke's Law
            1. Modulus of elasticity
          2. Impulse and Momentum (2 dimensions)
            1. Oblique impact problems
              1. Two smooth spheres
                1. Smooth sphere and fixed surface
                2. Solve problems
                  1. Vector nature of impulse and momentum
                  2. Motion in a vertical circle
                    1. Radial and transverse components of acceleration
                      1. For a circle with variable speed
                      2. Solve problems
                        1. Including where circular motion breaks down (eg. string becomes slack)
                      3. Linear Motion under a Variable Force
                        1. Differentiate displacement for velocity
                          1. Differentiate velocity for acceleration
                            1. Set up and solve appropriate differential equations
                            2. Simple Harmonic Motion
                              1. Recall a definition of SHM
                                1. Understand period and amplitude
                                  1. Set up differential equations and solve
                                    1. Use Newton's second law, and approximations, to show that small oscilations of a pendulum obey SHM
                                      1. Understand the limitations of the model
                                      2. Solve small oscillations of a simple pendulum
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