Oscillatory Motion and Waves
Oscillatory Motion
Periodic Movement
Oscillatory motion, or periodic movement, occurs when a particle experiences displacement from its equilibrium position. When the disturbance is small, the restoring force is proportional to the displacement from equilibrium (x): F = -Kx. The negative sign indicates that the force opposes the displacement.
Simple Harmonic Motion
Knowledge of the force allows us to use Newton’s second law to obtain the differential equation that governs the particle’s trajectory:
Read MoreSolved MRUA Exercises
MRUA exercises solved.
To review carefully put in parentheses. Make no mistake.
1 .- A body moves from rest with constant acceleration of 8 m / s 2. Calculate: a) the speed is within 5 s, b) the distance traveled from rest, in the first 5 s.
Data:
v i = 0 (m / s)
a = 8 (m / s 2)
v f = v i + at = 0 (m / s) + 8 (m / s 2) x 5 (s) = 40 (m / s)
d = v i t + at 2 / 2 = 0 (m / s) x 5 (s) + 8 (m / s 2) x (5 (s)) 2 / 2 = 100 (m)
2 .- The velocity of a vehicle increases smoothly from 15 km / h to 60
Motion and Kinematics Key Concepts
Displacement and Distance
- The variation of the position vector that a particle experiences in a time interval is called displacement.
- The displacement vector is independent of the path followed by the particle.
- The distance traveled by a particle is greater than or equal to the magnitude of the displacement.
- The distance traveled is equal to the magnitude of displacement if the path is straight with no change in direction.
Velocity and Speed
- If a particle starts at point P and returns to P after a time
Electromagnetic Waves and Phenomena
Electromagnetic Waves
Electromagnetic waves are horizontal and involve the propagation of electric and magnetic fields perpendicular to the direction of propagation, without requiring a material medium.
Characteristics of Electromagnetic Waves
- Caused by accelerated electric charges.
- Consist of periodic variations of the electromagnetic state of space.
- Do not need material support to propagate.
- Electric and magnetic field vectors vary sinusoidally with time and position, following equations for harmonic
Visual Perception and Eye Function: A Comprehensive Guide
Visual Perception and Eye Function
Receiver Operating Characteristic (ROC)
A graphical plot of the observer’s hit rate as a function of the false alarm rate. Plotting the ROC curve allows prediction of the proportion of hits for a given proportion of false alarms. High beta indicates a low probability of a false alarm and a lower probability of a hit, and vice versa. Detecting a signal in noise involves altering the steady state’s criterion using a payoff matrix that selectively rewards specific
Read MoreVoltammetry: An Overview of Electrochemical Techniques
Voltammetry
Voltammetry encompasses a group of electroanalytical methods that provide information about an analyte by measuring current as a function of applied potential. This process promotes polarization of a working electrode.
- Amperometry measures current at a fixed potential, which is proportional to analyte concentration.
- Polarography, a foundational field in voltammetry, was historically used to determine inorganic ions and certain organic species, though many of these applications have been