Question

All forms of simple harmonic motion may be described via a=−ω²x, where a is an acceleration, and x is a position. Given that F=−kx for a spring and F=ma, determine the angular frequency ω.

Answer 1

Simple harmonic motion is a type of oscillatory motion described by Hooke's law. The angular frequency, period, and frequency of a simple harmonic oscillator can be calculated using the mass and force constant of the system.

Step-by-step explanation:

Simple harmonic motion (SHM) is a type of oscillatory motion for a system that can be described by Hooke's law. In this case, the restoring force is proportional to the displacement and acts in the opposite direction. The angular frequency ω, period T, and frequency f of a simple harmonic oscillator are determined by the mass of the system (m) and the force constant (k). They can be calculated using the formulas:

ω = √(k/m)

T = 2π/ω

f = 1/T