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508325
Mathematics: Mechanics 3
Description
A-level Maths (M3) Mind Map on Mathematics: Mechanics 3, created by declanlarkins on 27/01/2014.
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m3
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maths
m3
a-level
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declanlarkins
, updated more than 1 year ago
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Created by
declanlarkins
almost 11 years ago
Copied by
declanlarkins
almost 11 years ago
Copied by
declanlarkins
almost 11 years ago
Copied by
declanlarkins
almost 11 years ago
Copied by
declanlarkins
almost 11 years ago
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Resource summary
Mathematics: Mechanics 3
Equilibrium of Rigid Bodies in Contact
Newton's third Law
Jointed rod problems
Elastic Strings and Springs
Solve problems involving forces from elastic strings or springs
Elastic potential energy stored
Hooke's Law
Modulus of elasticity
Impulse and Momentum (2 dimensions)
Oblique impact problems
Two smooth spheres
Smooth sphere and fixed surface
Solve problems
Vector nature of impulse and momentum
Motion in a vertical circle
Radial and transverse components of acceleration
For a circle with variable speed
Solve problems
Including where circular motion breaks down (eg. string becomes slack)
Linear Motion under a Variable Force
Differentiate displacement for velocity
Differentiate velocity for acceleration
Set up and solve appropriate differential equations
Simple Harmonic Motion
Recall a definition of SHM
Understand period and amplitude
Set up differential equations and solve
Use Newton's second law, and approximations, to show that small oscilations of a pendulum obey SHM
Understand the limitations of the model
Solve small oscillations of a simple pendulum
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