That's two equations with two unknowns. Solving one of the equations for the tension and then plugging it into the other equation gives the following expression for the acceleration.

Step 2 - Kinetics: Write down the Newton/Euler equations for the sphere. Be careful with your moment equation - it is recommended that you use a moment equation about the center of mass of the sphere.

Revise Forces, acceleration and Newton's Laws for your physics GCSE foundation and higher triple science exams with Bitesize interactive practice quizzes covering feedback and common errors.

By using PyTorch — a popular open-source AI library — Dr. Betgeri was able to implement automatic differentiation, allowing ...

I assume the laws of physics still apply in "unintended acceleration." In particular, F=ma, "force equals mass times acceleration," implies that acceleration depends on a continued applied force.

A linear algebraic formulation of discretized, mono-energetic, steady-state, linear Boltzmann transport equations in slab geometry is presented. The discretization consists of a discrete ordinates ...