Question

I want to know the relation between the the T Vs theta

i want the equation from the beginning>

please help

Answer 1

Simple pendulums are sometimes used as an example of simple harmonic motion, SHM, since their motion is periodic. They also fit the criteria that the bob's velocity is maximum as it passes through equilibrium and its acceleration is minimal while at each endpoint. But a deeper understanding of the behavior of the bob will show us that pendulums do not truly fit the SHM model. To begin our analysis, we will start with a study of the properties of force and acceleration in a simple pendulum by examining a freebody diagram of a pendulum bob. As the pendulum swings, it is accelerating both centripetally, towards the point of suspension and tangentially, towards its equilibrium position. It is its linear, tangential acceleration that connects a pendulum with simple harmonic motion. The weight component, mg sin?, is accelerating the mass towards equilibrium along the arc of the circle. This component is called the restoring force of the pendulum. Frestoring = matangential mg sin? = matangential To strictly qualify as SHM this restoring force should be directly proportional to the bob