Solve two Atwood machine problems step by step, including the effects of friction and an inclined plane. Learn how to set up free-body diagrams, apply Newton’s laws, and avoid common mistakes in ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly reflecting shapes to tile a surface, researchers uncovered a method that links ...

For more than a century, scientists have wondered why physical structures like blood vessels, neurons, tree branches, and ...

Abstract: Long-term unit commitment (LTUC) plays an important role in power system planning and production simulation, especially when seasonal volatility of renewable generation and ultra-long-term ...

The best way to fix Americans’ cost-of-living problem is to give workers bigger raises, Federal Reserve Chair Jerome Powell said last week. The problem: That solution looks broken, too. The US job ...

Abstract: One of the most difficult problems in power system optimization research is the unit commitment (UC) issue. The current study effectively reduced emissions and generating costs in the UC ...