Скачать с ютуб Simple Pendulum and SHM (Simple Harmonic Motion) | Class 11 | IIT JEE в хорошем качестве

Simple Pendulum and SHM (Simple Harmonic Motion) | Class 11 | IIT JEE

A pendulum is a mechanical system capable of doing SHM. It consists of a mass attached to a string or rod that is free to swing back and forth under the influence of gravity. Solved numerical problems and downloadable PDFs: ▶ https://thesciencecube.com/ Join our Telegram Channel: ▶ https://t.me/TheScienceCube_Community The swinging motion of a pendulum is an example of a simple harmonic motion (SHM), which is a type of periodic motion that follows a predictable pattern. In a pendulum, the restoring force is the force of gravity acting on the mass. This force pulls the mass towards the equilibrium position, which is the position where the pendulum is in its lowest point. As the pendulum swings away from the equilibrium position, the restoring force increases and eventually causes the mass to change direction and swing back towards the equilibrium position. This swinging motion continues back and forth in a periodic pattern. The equations that describe the motion of a pendulum in SHM are: The period, T, of a pendulum is given by: T = 2π √(L/g) The frequency, f, of a pendulum is given by: f = 1/T = 1/(2π √(L/g)) The angular displacement, θ, of a pendulum is given by: θ = θ0 * sin(ωt) The angular velocity, ω, of a pendulum is given by: ω = dθ/dt = θ0 * ω * cos(ωt) The angular acceleration, α, of a pendulum is given by: α = dω/dt = -θ0 * ω^2 * sin(ωt) where L is the length of the pendulum, g is the acceleration due to gravity, θ0 is the maximum displacement of the pendulum from the equilibrium position, and ω is the angular frequency of the pendulum.