Exploring Oscillations: The Physics of the One-Dimensional Simple Harmonic Oscillator 1

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To understand concepts in mechanics and application areas.
#oscillators #onedimensionalmotion
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KEY AREAS IN THIS TOPIC :
➢ Kinematics in one and two dimensions (Cartesian coordinates only),
➢ projectiles;
➢ Uniform circular motion;
➢ Relative velocity.
➢ Newton’s laws of motion;
➢ Inertial and uniformly accelerated frames of reference;
➢ Static and dynamic friction;
➢ Kinetic and potential energy;
➢ Work and power;
➢ Conservation of linear momentum and mechanical energy.
➢ Systems of particles; Centre of mass and its motion;
➢ Impulse; Elastic and inelastic collisions.
➢ Rigid body, moment of inertia,
➢ parallel and perpendicular axes theorems,
➢ moment of inertia of uniform bodies with simple geometrical shapes;
➢ Angular momentum;
➢ Torque;
➢ Conservation of angular momentum;
➢ Dynamics of rigid bodies with fixed axis of rotation;
➢ Rolling without slipping of rings, cylinders
and spheres;
➢ Equilibrium of rigid bodies;
➢ Collision of point masses with rigid bodies.
➢ Forced and damped oscillation (in one dimension),
resonance.
➢ Linear and angular simple harmonic motions.
➢ Hooke’s law,
➢ Young’s modulus.
➢ Law of gravitation;
➢ Gravitational potential and field;
➢ Acceleration due to gravity; Kepler’s law,
➢ Geostationary orbits,
➢ Motion of planets and satellites in circular orbits;
➢ Escape velocity.
➢ Pressure in a fluid;
➢ Pascal’s law;
➢ Buoyancy;
➢ Surface energy and surface tension,
➢ angle of contact, drops, bubbles and capillary rise.
➢ Viscosity (Poiseuille’s equation excluded),
➢ Modulus of rigidity and bulk modulus in mechanics.
➢ Stoke’s law;
➢ Terminal velocity,
➢ Streamline flow, equation of continuity,
➢ Bernoulli’s theorem and its applications.
➢ Wave motion (plane waves only), longitudinal and transverse waves,
➢ superposition of waves;
➢ Progressive and stationary waves;
➢ Vibration of strings and air columns;
➢ Resonance; Beats;
➢ Speed of sound in gases;
➢ Doppler effect (in sound).