Review of Lecture Notes on Oscillations and Elasticity

These flashcards provide definitions and explanations of critical concepts related to oscillations, elasticity, and the properties of materials.

Simple Harmonic Motion (SHM)

A type of oscillatory motion where the restoring force is directly proportional to the displacement from the equilibrium position.

Angular Frequency (ω)

The rate of rotation or oscillation, given in radians per second.

Young's Modulus (E)

A measure of the stiffness of a solid material, defined as the ratio of tensile stress to tensile strain.

Hooke's Law

States that the force needed to extend or compress a spring by some distance is proportional to that distance.

Stress (σ)

The force applied per unit area on an object, expressed as σ = F/A.

Strain (ε)

The deformation of a material divided by its original length, ε = ΔL/L₀.

Tensile Strength

The maximum amount of tensile stress that a material can withstand before failure.

Damped Harmonic Motion

Motion in which the oscillations decay over time due to a damping force, such as friction.

Resonance

The condition where the driving frequency of an external force matches the natural frequency of the system, resulting in large amplitude oscillations.

Bulk Modulus (K)

A measure of a material's resistance to uniform compression.

Elastic Potential Energy (PEelastic)

The energy stored in an elastic material when it is stretched or compressed.

Centripetal Acceleration (ac)

The acceleration that keeps an object moving in a circular path, directed towards the center of the circle.

Total Mechanical Energy (E)

The sum of kinetic and potential energies in a system, which remains constant in the absence of non-conservative forces.

Angular Displacement (θ)

The angle in radians through which a point or line has been rotated in a specified sense about a specified axis.

Equilibrium Position

The position of an object when all forces acting on it are balanced, and the object is at rest.

Frequency (f)

The number of complete cycles per unit time, measured in Hertz (Hz).

Tension (T)

The force exerted by a rope, string, or cable when it is pulled tight by forces acting from opposite ends.