Are we not already analyzing exactly the same problem in https://www.physicsforums.com/threads/two-bodies-hanging-from-pulley.1011640/Doc Al said:
Yes, the situations are identical, although the questions asked are slightly different. Here the problem asks for the downward force on the pulley (I assume) while the other thread asks for acceleration.jbriggs444 said:
Why do you think it is the wrong equation? It was the correct equation in the other Atwood machine problem. As @Doc Al suggested, you need to find the tension in the rope. The equation you quoted here will not give it to you because the tension drops out as it is supposed to do.rudransh verma said:
It is a correct equation, though perhaps not the best approach to the problem. In what sense do you think it is wrong? That it won't help answer the question or that it will produce the wrong answer? Those will depend on how you use the equation. What was your next step?rudransh verma said:
O yes!kuruman said:
Always show your work. However, your results fit with what I get, while the official answer does not.rudransh verma said:
I want to ask does using one pulley minimises the effort needed to pull a mass up. I don’t think this is true. ##F=m_1g+m_1a## and if we use a pulley then ##F-T+T-m_1g=m_1a##jbriggs444 said:
Avoid introducing terms like ‘effort’ unless you define them. By ‘effort’, do you mean the net force on an object? Or the tension? Or something else?rudransh verma said:
I was wrong with second eqn. I edited it. The force F required to pull mass m1 will be same ##m_1g+m_1a## whether we use a pulley or not. To take the advantage of pulley we need to add an extra weight. I hope I am right!Steve4Physics said:
The net force on ##m_1## is ##F_{net,1} = m_1a##. The tension in the rope is ##T =m_1g+m_1a##.rudransh verma said:
It depends what you mean by 'advantage'.rudransh verma said:
A "two blocks and pulley problem" is a common physics problem that involves two blocks connected by a rope or cable that is draped over a pulley. The blocks are typically on a horizontal surface and have different masses, and the goal is to determine the acceleration of the system and the tension in the rope.
The key concepts involved in solving a "two blocks and pulley problem" are Newton's laws of motion, friction, and the relationship between force, mass, and acceleration. It is also important to understand how pulleys work and how to calculate the tension in a rope or cable.
The steps to solving a "two blocks and pulley problem" are as follows:
Some common mistakes made when solving a "two blocks and pulley problem" include forgetting to account for friction, not drawing accurate free body diagrams, and not correctly applying Newton's laws of motion. It is also important to pay attention to the direction of forces and accelerations, as they can affect the final answer.
To improve your understanding of "two blocks and pulley problems", you can practice solving different types of problems, work with a study group or tutor, and review the key concepts and equations involved. It can also be helpful to visualize the problem and think about real-life examples of pulleys and how they work. Additionally, seeking out additional resources such as textbooks, online tutorials, and practice quizzes can also aid in improving your understanding.
