Nope, but I don't really have any other ideas.haruspex said:
There is a simple relationship between the two, just not quite that simple.ashley2024 said:
Would this be similar to the related rates problems? Since the ropes have fixed length, it seems similar to the ladder problem where you have to differentiate its rate as it falls...haruspex said:
Welcome, Ashley!ashley2024 said:
The teacher who gave this problem.Lnewqban said:Welcome, Ashley!
What makes you state that?
Then, the tension in the V=shaped wire should be the minimum to keep masses #1 sliding toward each other.ashley2024 said:
It isn't. Don’t be distracted by that.ashley2024 said:
Yes.ashley2024 said:
A non-equilibrium pulley system is a mechanical setup where the forces acting on the system are not balanced, resulting in acceleration. This contrasts with an equilibrium system where the sum of forces and torques equals zero, leading to no acceleration.
To account for the 154-degree angle, you need to resolve the forces acting on the system into their components. Typically, this involves breaking down the tension forces in the ropes into horizontal and vertical components using trigonometric functions like sine and cosine.
The primary equations used are Newton's second law (F = ma) for each mass in the system. Additionally, you will use trigonometric identities to resolve forces and the constraints imposed by the pulleys and ropes. Summing the forces in the horizontal and vertical directions will give you a set of simultaneous equations to solve.
To determine the acceleration, you need to set up the equations of motion for each mass based on the forces acting on them. Once you have the equations, you solve them simultaneously to find the acceleration. This typically involves using the net force and the mass of each object to find the acceleration using F = ma.
Friction can significantly affect the forces in a pulley system. If friction is present, it must be included in the force calculations. This typically involves adding frictional force components, which are usually proportional to the normal force and depend on the coefficient of friction between the surfaces in contact.