How to Solve the Pendulum

A pendulum is an object consisting of a mass suspended from a pivot so that it can swing freely. The mathematics of pendulums are governed by the differential equation d2θdt2+glsin⁡θ=0{\displaystyle {\frac {{\mathrm {d} }^{2}\theta }{{\mathrm {d} }t^{2}}}+{\frac {g}{l}}\sin \theta =0} which is a nonlinear equation in θ.{\displaystyle \theta .} Here, g≈9.8 ms−2{\displaystyle g\approx 9.8\ {\text{m}}\,{\text{s}}^{-2}} is…

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Latest satellite footage shows progress of Apple Park construction over last two years [Video]

Apple has been hard at work on its new Apple Park headquarters for several time, recently starting to put the final touches on the campus. Now, satellite imaging company Planet Labs has shared new overhead footage of the spaceship construction progress over the last two years, condensing the footage down to just 18 seconds and…

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How to Stop Giving Unsolicited Advice

It is tempting to offer unsolicited advice. Knowledge and solutions take a long time to learn. However, unsolicited advice typically inspires a defensive reaction, since people need to maintain their autonomy in life and decision-making. Unless specifically asked, it is usually better to keep your advice to yourself. Instead, focus on modeling the behaviors you…

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