NSW Syllabus Reference: MEX-M1.1: Simple harmonic motion. This will require student to
- derive equations for displacement, velocity and acceleration in terms of time, given that a motion is simple harmonic and describe the motion modelled by these equations
- prove that motion is simple harmonic when given an equation of motion for acceleration, velocity or displacement and describe the resulting motion
- sketch graphs of \(x,\,\dot x\) and \(\ddot x\) as functions of and interpret and describe features of the motion as functions of \(t\) and interpret and describe features of the motion
- prove that motion is simple harmonic when given graphs of motion for acceleration, velocity or displacement and determine equations for the motion and describe the resulting motion
- derive \(v^2=g(x)\) and the equations for velocity and displacement in terms of time when given \(\ddot x = f(x)\) and initial conditions, and describe the resulting motion
- use relevant formulae and graphs to solve problems involving simple harmonic motion
Ref: https://educationstandards.nsw.edu.au/
