Demonstrating Problem Solving - Gravitational Potential Energy

https://media.cooleysekula.net/w/wDeC2X6zGqCirY48EU4wSu

Demonstrating Problem Solving: Kinetic Energy and Work

https://media.cooleysekula.net/w/6WtzuYtHR5QQiRyz3v8KeH

A cycloidal pendulum - one suspended from the cusp of an inverted cycloid - is isochronous, meaning its period is constant regardless of the amplitude of the swing. Please find the proof using energy methods: Lagrange's equations (in the images attached to the reply).

Background:
The standard pendulum period of \(2\pi\sqrt{L/g}\) or frequency \(\sqrt{g/L}\) holds only for small oscillations. The frequency becomes smaller as the amplitude grows. If you want to build a pendulum whose frequency is independent of the amplitude, you should hang it from the cusp of a cycloid of a certain size, as shown in the gif. As the string wraps partially around the cycloid, the effect decreases the length of the string in the air, increasing the frequency back up to a constant value.

In more detail:
A cycloid is the path taken by a point on the rim of a rolling wheel. The upside-down cycloid in the gif can be parameterized by \((x, y)=R(\theta-\sin\theta, -1+\cos\theta)\), where \(\theta=0\) corresponds to the cusp. Consider a pendulum of length \(L=4R\) hanging from the cusp, and let \(\alpha\) be the angle the string makes with the vertical, as shown (in the proof).

#Pendulum #Cycloid #Period #Frequency #SHM #TimePeriod #CycloidalPendulum #Lagrange #Cusp #Energy #KineticEnergy #PotentialEnergy #Lagrangian #Length #Math #Maths #Physics #Mechanics #ClassicalMechanics #Amplitude #CircularFrequency #Motion #Vibration #HarmonicMotion #Parameter #ParemeterizedEquation #GoverningEquations #Equation #Equations #DifferentialEquations #Calculus

#KERS Bicycles! Bicycle Kinetic Energy Recovery System! Definitely looking into this!

https://www.researchgate.net/publication/353193540_Bicycle_kinetic_energy_recovery_system_by_using_flywheel-a_review_Article_Information
#Bicycles #KineticEnergy #NoLithiumMining

💪 Our system is powered by a blend of diverse energies that boost our performance and drive! From Chemical to Kinetic, Radiant, Mental, Emotional, and Spiritual – each form fuels our capacity to do amazing work. 🚀✨

#Energy #Performance #ChemicalEnergy #KineticEnergy #RadiantEnergy #MentalStrength #EmotionalHealth #SpiritualGrowth #WorkCapacity

@consciousliving

A new model provides an improved description of the flow of the #ocean’s #KineticEnergy by including #friction with the coasts. #oceanmodeling #fluiddynamics #physics https://physics.aps.org/articles/v17/77?utm_campaign=weekly&utm_medium=email&utm_source=emailalert

Harvesting Human Produced Kinetic Energy Could be a Planet Saver
In pursuit of mitigating climate change caused by our modern industrialized world, not putting research and funding into novel kinetic energy sources is in my opinion a mistake. #kineticenergy #piezoelectric #turbines

https://www.21stcentech.com/kinetic-energy-harvested-human-activity-save-planet/

nanobots going to work in the morning

#Nanobots #FuturisticVision #FineArt #ScienceFiction #VibrantVortex #ColorsAndLight #ActivityRush #AdvancedEnvironment #NanoEngineered #OrganicTechnologicalDesign #FutureScience #Surrealism #SciFi #KineticEnergy #TechnologicallyAdvancedSociety #Img2Img #AiArt #AiArtists #StableDiffusion

The higher #damage of a #twohanded #sword comes less from the weapon's mass and more from its speed and reach, which increases the linear velocity of the tip relative to a shorter weapon. The formula for #KineticEnergy is F=1/2mv^2, Force equals one-half mass times velocity squared.

The #Chinese #shuangshoujian or European #longsword is a much better model than the #German #Zweihänder, many extant examples of which are actually ceremonial, not meant for combat use.

#DnD #rpg #ttrpg

#kineticenergy
3/3

#kineticenergy
2/3

#kineticenergy
Local kinetic sculpture exhibit

The #HousingCrisis is very much a #RoadSafety issue. The only way to reduce serious & fatal #traffic #crashes is to reduce the amount of #KineticEnergy being transfered among roadway users.
Best way to do that? Reduce our dependence on big, heavy, fast cars.
Best way to do that? Build #communities & #infrastructure that help people get out of cars and onto #sidewalks, #BikePaths, & #transit.
Best way to do that? Build more housing for more people in more places that don't require a #car.

Proof of cops paying $, geofencing an employee of an abortion clinic and using that data to follow her and her "device" home.
#Stalking #AbolishPoliceUnions #Trafficking #KineticEnergy #directedenergyweapons

Reverse Engineering Self-Powered Wireless Switches

The plethora of wireless communications technologies have cut the comms wire for many applications, but these devices still require power. For home automation, this might mean a battery or mains power, but there is also an alternative that we don't see often: Kinetic power. [Bigclivecom] bought some kinetic switches from eBay and gave it his usual reverse engineering treatment.

True to the marketing, these switches do not require external power or a battery to send a wireless signal. Instead, it harvests energy from the magnetic latching action of the switch itself. When the switch is actuated, a small current is induced in a coil as the polarity of the magnetic field through its core changes rapidly. Through a series of diodes and resisters, the energy is stored in a capacitor, which is then used to power a small transmitter chip. The antenna coil is wrapped around the switch housing.

The receiver side is powered by mains and includes a relay output for lights. It would be really nice to have a hacker-friendly module for projects. We would be curious to see the range that these devices are capable of.

The same technology is used inside the Philips Hue Tap switch, of which Adafruit did a teardown a few years ago. If you want to learn more about RF modulation, check out the crash course article we put out a while back. Of course, the RTL SDR is an indispensable and affordable tool if you want to do some experimentation.

#techhacks #bigclive #kineticenergy #rf #switch #wirelessswitches