The discussion revolves around a scenario involving a 200-pound man on a 10-foot ladder that is falling in an arc. Participants are exploring the impact force experienced by the man depending on whether he rides the ladder down or falls straight down separately.
The discussion is ongoing, with participants offering insights into the physics involved, including energy conservation and the relationship between the ladder's motion and the man's trajectory. There is no explicit consensus yet, but various interpretations of the problem are being explored.
Participants are assuming the mass of the ladder is negligible and are focusing on the dynamics of the man falling either with the ladder or separately. The complexity of the ladder's motion, including potential changes in trajectory, is also being considered.
If you ignore the mass of the ladder, you can treat this as a simple conservation problem. What is conserved? What is the velocity of the poor guy (magnitude and direction) when he hits the ground? Which component(s) of his velocity will result in doing him harm?bpatterson9671 said:This problem came up in discussion - If a 200 pound man was on the top of a 10 foot ladder, and the ladder fell in an arc to the ground, Would the force of impact on the man be less if he "road" the ladder down to the ground on the arc, or if he fell straight down 10 feet separate from the ladder? We are debating this at work and I am trying to come up with the physics behind this. Any help?
The force the ladder exerts on the man is perpendicular to his motion. That makes this problem like masses sliding down surfaces, plane or otherwise, roller coasters, pendulums, etc. Mechanical energy is conserved. You can find the velocity at any height using energy conservation. You can find the direction of the velocity using the motion of the ladder.bpatterson9671 said:I would ignore the mass of the ladder (lets assume it is a really light aluminum one), and I have the equation F = mv , however, I am having a difficult time with the arc velocity calculation. I can calculate the straight line fall due to gravity, but I am not sure of the other.