Find the equilibrium position of the winch

In summary, the conversation discusses the construction and function of a whip made from a material with a shaped shaft, axis radius, and moment of inertia, as well as a crank with a perpendicular axis to the rotation axis and a hoist with a negligible mass. The main task is to find the equilibrium position and oscillation cycle of the winch, considering the torques from the hanging mass and the crank and handle.
  • #1
datanhlg
2
0

Homework Statement


A whip made from a material shaped shaft axis radius R and moment of inertia I and a crank with the axis perpendicular to the axis of rotation of length l and mass m, while the rest parallel to the handle - mass ##m_{2}##. It hangs on a hoist that has mass m. Suppose rope hanging objects weighing negligible.

Homework Equations


Find the equilibrium position of the winch (ie alpha angle on the picture) and the oscillation cycle of generation after small changes of the crank position. Ignore the resistance movement.

The Attempt at a Solution


Please explain for me how to do it, thank and sorry my bad English

anh11.PNG
 
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  • #2
In equilibrium, the torques about the rotation axis have to balance. What is the torque from the hanging mass? What is the torque from the crank and the handle?
 

Related to Find the equilibrium position of the winch

1. What is the equilibrium position of a winch?

The equilibrium position of a winch is the point at which the forces acting on the winch are balanced, resulting in no movement or rotation of the winch. This point is often referred to as the "steady state" or "resting state" of the winch.

2. How is the equilibrium position of a winch determined?

The equilibrium position of a winch is determined by analyzing the forces acting on the winch, including the weight of the object being lifted, the tension in the cable, and any external forces. By setting these forces equal to each other, the equilibrium position can be calculated.

3. Why is it important to find the equilibrium position of a winch?

Finding the equilibrium position of a winch is important for ensuring the safety and stability of the winch and the object being lifted. It also allows for efficient use of the winch and prevents excessive wear and tear on its components.

4. Can the equilibrium position of a winch change?

Yes, the equilibrium position of a winch can change if any of the forces acting on it change. For example, if the weight of the object being lifted increases, the equilibrium position will shift to a lower point to balance out the increased force.

5. How does the length of the cable affect the equilibrium position of a winch?

The length of the cable can affect the equilibrium position of a winch by changing the tension in the cable. A longer cable will have a greater tension, resulting in a higher equilibrium position, while a shorter cable will have a lower tension and a lower equilibrium position.

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