Cart-Pulley-Hanging Mass Dynamics

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In the cart-pulley-hanging mass scenario, when the cart falls freely over the edge, the tension in the rope will change due to the dynamics of the system. If the cart and mass are released from a suspended position, the initial tension will differ from when they are released horizontally, where there is no tension. The key factor is the acceleration of the system, which affects the rope tension based on the forces acting on the mass and cart. Understanding these dynamics is crucial for analyzing the behavior of the Atwood machine in various configurations. Overall, the tension in the rope is not constant and varies depending on the setup and release conditions.
bunchie
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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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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)
 

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