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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.
Check definition, SI unit and formula for acceleration. Here we have also provided some questions and numerical problems based on acceleration.
Write down the Newton/Euler equations for the drum. Note that since the drum does not slip on either cable, point C on the drum is the instant center for the drum, with the acceleration of C, ...
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 ...
Now researchers are taking the mystery out of acceleration-induced cavitation with a new math formula that predicts when and where it may occur.