Understanding Different Accelerations in Constrained Pulley Motion

In summary, the acceleration of masses m1 and m2 can be different due to the fact that the pulley they are attached to is also moving. This results in an augmented acceleration for the mass moving upward and a diminished acceleration for the mass moving downward. Drawing free-body diagrams can help in understanding this concept.
  • #1
anigeo
84
0
could you please tell me how can the accelaration of masses m1 and m2 can be different.
i am in a great necessity.so please explain me how can the two strings of the two sides of the lower pulley have different accelarations?
 

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  • #2
A good start: draw some free-body diagrams.
 
  • #3
The lower masses have different accelerations due to the fact that the pulley they are attached to is itself moves due to the mass m3. So the mass moving upward will have an augmented acceleration while the mass moving downward will have a diminished acceleration. (Everything being viewed from an inertial frame like the constant surroundings.)
 

1. What is constrained motion of pulley?

Constrained motion of pulley is a concept in mechanics that describes the movement of a pulley when it is attached to a fixed object or a system of other pulleys. The motion of the pulley is restricted or constrained due to its connection to other objects.

2. How is constrained motion of pulley different from unconstrained motion?

In unconstrained motion, a pulley is free to move and rotate in any direction. However, in constrained motion, the movement of the pulley is limited due to its connection to other objects. This can affect the overall motion and dynamics of the system.

3. What factors affect the constrained motion of pulley?

The constrained motion of pulley can be affected by various factors such as the mass and shape of the pulley, the tension in the rope or belt, and the friction between the pulley and other objects it is connected to. These factors can impact the speed, direction, and stability of the pulley's motion.

4. How is constrained motion of pulley applied in real-life situations?

Constrained motion of pulley is commonly used in machines and systems that involve the use of pulleys, such as elevators, cranes, and conveyor belts. It is also utilized in physics experiments and demonstrations to study the principles of motion and forces.

5. What are some common examples of constrained motion of pulley?

Some examples of constrained motion of pulley include the movement of a bicycle's gears, the rotation of a drill's chuck, and the motion of a crane's hoist. In all of these examples, the pulley's motion is restricted by its connection to other objects, which affects its overall movement and function.

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