Tuesday, July 5, 2016

Problem: The net forces acting on masses are equal to each other but unknown

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.

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.

An unknown net force acting on the known mass m₁ produces an unknown acceleration