This could be quantified using calculus, but to simply know WHERE it is fastest but not how fast, simple first principals are all that is required - that of conservation of energy.
At the low point the pendulum has it's least Potential Energy (PE) - it has fallen as far as it can. As it rises it gains PE, gathering that energy by reducing the Kinetic Energy (energy of motion) of the mass.
Clearly the pendulum is traveling fastest at the bottom.
A heavier pendulum will swing longer due to its greater inertia.
Potential energy is the greatest at the top of the pendulum swing, precisely as it is stopped. Kinetic energy is greatest at the bottom of its swing as it is moving its fastest. Between the two points the energies are converting into one another.
At the bottom of it's swing. This is because it has accelerated to it's peak velocity due to gravity.
how is pendulum swing related to teaching process?
If the pendulum was pushed with a large force or if it was heavier. It might swing faster.
At the bottom of it's motion because the gravitational potential energy is zero
A heavier pendulum will swing longer due to its greater inertia.
Potential energy is the greatest at the top of the pendulum swing, precisely as it is stopped. Kinetic energy is greatest at the bottom of its swing as it is moving its fastest. Between the two points the energies are converting into one another.
At the bottom of it's swing. This is because it has accelerated to it's peak velocity due to gravity.
how is pendulum swing related to teaching process?
A simple pendulum.
If the pendulum was pushed with a large force or if it was heavier. It might swing faster.
The acceleration of a pendulum is zero at the lowest point of its swing.
At this point, at the top of the swing, the pendulum has potential energy. As it drops it loses potential and gains kinetic energy. At the fastest point, as the pendulum reached the bottom of the swing, it has kinetic energy. It then loses kinetic energy and gains potential energy as it swings up to the other side.
By shorten the string of the pendulum
me
momentum