University mechanics and waves

Your learning path

1. 01

   Rotational dynamics and rolling constraints

   Angular velocity is the time derivative of angular displacement. For a fixed axis and constant moment of inertia, net torque equals I times angular acceleration.

   University · Notes · 8 questions
2. 02

   Driven oscillations, damping and resonance

   A linear mass-spring oscillator obeys mx″+kx=0. Its natural angular frequency is sqrt(k/m), not k/m.

   University · Notes · 8 questions
3. 03

   Central forces, angular momentum and effective potential

   A central force is directed along the line joining the particle to a fixed centre and has magnitude depending only on radial distance in the usual model.

   University · Notes · 8 questions
4. 04

   Wave equations, normal modes and boundary conditions

   The ideal one-dimensional wave equation is ytt=c²yxx. The parameter c is propagation speed for this nondispersive model.

   University · Notes · 8 questions