Cart-Pulley-Hanging Mass Dynamics

In summary, the conversation discusses the setup of a cart-pulley-hanging mass or Atwood machine and explores various scenarios involving the release of the cart and mass. These scenarios include the cart falling freely over the edge with the mass, the cart holding the mass aloft and then being released, and the cart and mass being held horizontally and then released simultaneously. The question is whether the rope tension will remain the same in all three scenarios. The group then encourages independent thinking and effort in answering the question.
  • #1
bunchie
8
0
The Setup is the cart-pulley-hanging mass or Atwood machine: if the cart is allowed to fall over the edge, and falls freely with the mass, will the rope tension remain the same as it was before the cart went over the edge? Is this situation the same as if the cart-rope-mass were held aloft by the cart (mass hanging down), and then the cart (and rope and mass) were released? Is this different from the situation where the cart-rope-mass is held horizontally (no tension in rope) and then the cart and mass are released simultaneously?
 
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  • #2
bunchie said:
The Setup is the cart-pulley-hanging mass or Atwood machine: if the cart is allowed to fall over the edge, and falls freely with the mass, will the rope tension remain the same as it was before the cart went over the edge? Is this situation the same as if the cart-rope-mass were held aloft by the cart (mass hanging down), and then the cart (and rope and mass) were released? Is this different from the situation where the cart-rope-mass is held horizontally (no tension in rope) and then the cart and mass are released simultaneously?
What do you think and why? (This is not a Q&A forum ... we expect people to give some effort on their own)
 

Related to Cart-Pulley-Hanging Mass Dynamics

1. How does the mass of the hanging weight affect the cart-pulley system?

The mass of the hanging weight affects the dynamics of the cart-pulley system by increasing the force required to move the cart and changing the acceleration of the system. As the mass of the hanging weight increases, the force needed to move the cart also increases, causing a decrease in acceleration.

2. What is the relationship between the length of the rope and the acceleration of the system?

The length of the rope affects the acceleration of the system by changing the distance that the cart must travel to move the hanging weight. As the length of the rope increases, the distance the cart must travel also increases, resulting in a decrease in acceleration.

3. How does friction impact the motion of the cart-pulley system?

Friction plays a significant role in the motion of the cart-pulley system. It can cause a decrease in the acceleration of the system by opposing the motion of the cart and causing energy loss. Friction can also affect the tension in the rope, altering the dynamics of the system.

4. What is the significance of the angle of the rope on the motion of the system?

The angle of the rope affects the tension in the rope, which is a crucial factor in the motion of the cart-pulley system. As the angle of the rope increases, the tension in the rope also increases, resulting in a greater force required to move the cart and a decrease in acceleration.

5. How does the position of the pulley affect the dynamics of the system?

The position of the pulley can affect the dynamics of the system by changing the direction of the force applied to the cart. If the pulley is positioned above the cart, the force will be directed downward, while a pulley positioned below the cart will result in an upward force. This can impact the acceleration and motion of the system.

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