Rock climber force diagram and acceleration

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SUMMARY

The discussion centers on calculating the acceleration of a 70kg climber and a 940kg rock, both connected by a rope over a frictionless ice cliff. To determine the climber's acceleration, one must analyze the force diagrams for both the climber and the rock, accounting for the tension in the rope. The net force acting on both the climber and the rock is crucial, as they share the same magnitude of acceleration due to their connection. Additionally, the time it takes for the rock to fall over the edge can be derived from these calculations.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with force diagrams and free-body diagrams
  • Knowledge of basic kinematics equations
  • Concept of tension in ropes and its effects on connected bodies
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  • Study Newton's Second Law and its application in dynamic systems
  • Learn to construct and analyze free-body diagrams for multiple objects
  • Explore kinematic equations for calculating time and distance in free fall
  • Investigate the effects of tension in ropes on connected masses
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stevo2393
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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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