Effect of mass distribution in a trailer. Too much weight behind the wheels leads to unstable oscillations.
The physics, called nonholonomic mechanics, gives the motion of multi-body systems with constraints like rolling wheels:
https://t.co/CHOTtbKn0V
Gravitational Billiards and Chaos:
20,000 balls rolling on a landscape under uniform downward gravity, with initial positions differing randomly by up to 0.001.
A bit of (negative) curvature goes a long way to making the system depend sensitively on these initial conditions
We're hiring an Applied Mathematical Engineer at Vanellus to help us build our core CFD solver. If you or anyone you know has experience with numerical methods and is interested in working at an early-stage startup, let me know! https://t.co/MjM2DnBcDj #cfd#math#job#startup
5 Stoic lessons from Epictetus:
1. You become what you give your attention to
2. Don’t explain your philosophy. Embody it
3. To improve, you have to be OK with looking foolish
4. You can’t learn what you think you already know
5. Stop waiting to demand the best for yourself
billiards are a classic example of chaotic dynamical systems: choose a table shape, fire a ball, and find out what happens, using angle of incidence = angle of reflection
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Validation is respect from others. Self-esteem is respect for yourself. Never sacrifice your self-esteem to gain validation. Validation is easily regained once lost. Self-respect is not.
Simulations reveal that ducklings swimming in a single-file formation behind the parent can achieve a wave-riding benefit whereby the wave drag turns positive. Gives a new meaning to "get your ducks in a row" 🦆@JFluidMech#dynamic#equilibrium#swimming https://t.co/HUmZXhhCcV