Rock climber force diagram and acceleration

In summary, a 70kg climber is attached to a 940kg rock on an ice cliff. The ice is frictionless and the climber begins to accelerate downward. To find the acceleration of the climber, one would use force diagrams and subtract the forces of the rock and the climber. The rock will also begin to move and its acceleration will be equal to the climber's due to being tied together. Considering the direction of movement and accounting for tension, the net force on both the climber and rock can be determined. The time it takes for the rock to go over the edge will depend on the acceleration and distance, but can be calculated using the equations of motion.
  • #1
stevo2393
3
0
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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  • #2
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.
 

FAQ: Rock climber force diagram and acceleration

What is a force diagram for a rock climber?

A force diagram for a rock climber is a visual representation of all the forces acting on the climber while they are ascending a rock face. These forces can include gravity, friction, and tension from ropes or gear.

How is acceleration calculated in rock climbing?

Acceleration in rock climbing is calculated using Newton's Second Law of Motion, which states that acceleration is equal to the net force acting on an object divided by its mass. In rock climbing, this can be calculated by dividing the total force exerted on the climber by their body mass.

What are the main factors that affect a rock climber's acceleration?

The main factors that affect a rock climber's acceleration include the strength and direction of the forces acting on them, their body mass, and the friction between their body and the rock face. Other factors such as the angle of the climb and the weight of their gear can also play a role.

How does a rock climber use a force diagram to improve their technique?

A force diagram can help a rock climber identify which forces are acting on them and in which direction, allowing them to adjust their technique and body position to optimize their movements. By understanding the forces at play, a climber can also make strategic decisions about when and where to place their gear for maximum support.

Is it possible for a rock climber to have a negative acceleration?

Yes, it is possible for a rock climber to have a negative acceleration, also known as deceleration or slowing down. This can occur when the climber is applying a force in the opposite direction of their movement, such as when they are pushing against the rock face to slow their descent or when using friction to control their speed on a descent.

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