Rock climber force diagram and acceleration

AI Thread Summary
To determine the acceleration of a 70kg climber dangling over an ice cliff, one should analyze the force diagrams for both the climber and the 940kg rock, considering the frictionless surface. The net force acting on each can be calculated by accounting for tension in the rope, which affects both the climber and the rock equally due to their connection. The discussion also raises the question of how long it will take for the rock to fall over the edge, emphasizing the importance of understanding the forces at play. By ignoring tension initially, one can simplify the analysis of the forces acting on both the climber and the rock. Ultimately, the climber and rock will share the same magnitude of acceleration due to their tied connection.
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A 70kg climber is dangling over the edge of an ice cliff. He is roped to a 940kg rock located 51 m from the edge. The ice is frictionless, and the climber starts to accelerate downward.

a) How would you find the acceleration of the climber?

Would you use the force diagrams for the rock and the climber and subtract the two to find the acceleration in the case?


b) How long does it take the rock to go over the edge?

Much thanks
 
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stevo2393 said:
A 70kg climber is dangling over the edge of an ice cliff. He is roped to a 940kg rock located 51 m from the edge. The ice is frictionless, and the climber starts to accelerate downward.

a) How would you find the acceleration of the climber?

Would you use the force diagrams for the rock and the climber and subtract the two to find the acceleration in the case?


b) How long does it take the rock to go over the edge?

Much thanks

Consider which direction the climber and the rock are going to move.
Ignoring Tension in the rope, what forces act on each of the climber and rock in the direction they are about to move

Once you take the Tension into account, you get the net force on each of the climber and Rock - remembering that since they are tied together, they will have the same magnitude of acceleration.
 
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