Problem: The net forces acting on masses are equal to each other but unknown. Masses are unknown too. Resulting accelerations a₁, a₂ are known. Find the acceleration if the same force acts on the both masses coupled together. First derive a formula for the unknown acceleration in terms of the known accelerations. Calculate the solution for a₁=3m/s², a₂=6m/s².
Physics Olympiad Tutor, PhD in Physics and Math. Location: Bay Ridge, Brooklyn, NY.
Tuesday, July 5, 2016
The force F₁ produces an unknown acceleration by acting on the unknown mass
The force F₁ produces an unknown acceleration by acting on the unknown mass. The force F₂ produces the same unknown acceleration, by acting on the second unknown mass. Find the force which produces the same acceleration, by acting on these masses coupled together as a whole.
a) Derive a formula for the desirable force in terms of known forces.
b) Calculate the solution if F₁=3N, F₂=6N.
a) Derive a formula for the desirable force in terms of known forces.
b) Calculate the solution if F₁=3N, F₂=6N.
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