In problem OP2.40, you were working with a movie director and investigated a cowboy sliding off a tree limb and falling onto the saddle of a moving horse. In that problem, the distance of the fall was several meters, and the calculation showed that there was a high probability of injury to the cowboy from the stunt. Let's look at a simpler situation. Suppose the director asks you to have the cowboy step off a platform 2.85 m off the ground and land on his feet on the ground. The cowboy keeps his legs straight as he falls, but then bends at the knees as soon as he touches the ground. This allows the center of mass of his body to move through a distance of 0.640 m before his body comes to rest. (Center of mass will be formally defined in Linear Momentum and Collisions.) You assume this motion to be under constant acceleration of the center of mass of his body. To assess the degree of danger to the cowboy in this stunt, you wish to calculate the average force upward on his body from the ground, as a multiple of the cowboy's weight. (We can assume all the mass of the cowboy is concentrated at the center of mass.) n -4.453125 x mg Analyze the two portions of the motion: free fall, and then slowing to a stop while the cowboy's feet are on the ground
In problem OP2.40, you were working with a movie director and investigated a cowboy sliding off a tree limb and falling onto the saddle of a moving horse. In that problem, the distance of the fall was several meters, and the calculation showed that there was a high probability of injury to the cowboy from the stunt. Let's look at a simpler situation. Suppose the director asks you to have the cowboy step off a platform 2.85 m off the ground and land on his feet on the ground. The cowboy keeps his legs straight as he falls, but then bends at the knees as soon as he touches the ground. This allows the center of mass of his body to move through a distance of 0.640 m before his body comes to rest. (Center of mass will be formally defined in Linear Momentum and Collisions.) You assume this motion to be under constant acceleration of the center of mass of his body. To assess the degree of danger to the cowboy in this stunt, you wish to calculate the average force upward on his body from the ground, as a multiple of the cowboy's weight. (We can assume all the mass of the cowboy is concentrated at the center of mass.) n -4.453125 x mg Analyze the two portions of the motion: free fall, and then slowing to a stop while the cowboy's feet are on the ground
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:In problem OP2.40, you were working with a movie director and investigated a cowboy sliding off a tree limb and falling onto the saddle of a moving horse. In
that problem, the distance of the fall was several meters, and the calculation showed that there was a high probability of injury to the cowboy from the stunt.
Let's look at a simpler situation. Suppose the director asks you to have the cowboy step off a platform 2.85 m off the ground and land on his feet on the ground.
The cowboy keeps his legs straight as he falls, but then bends at the knees as soon as he touches the ground. This allows the center of mass of his body to
move through a distance of 0.640 m before his body comes to rest. (Center of mass will be formally defined in Linear Momentum and Collisions.) You assume
this motion to be under constant acceleration of the center of mass of his body. To assess the degree of danger to the cowboy in this stunt, you wish to calculate
the average force upward on his body from the ground, as a multiple of the cowboy's weight. (We can assume all the mass of the cowboy is concentrated at the
center of mass.)
n -4.453125 x
mg
Analyze the two portions of the motion: free fall, and then slowing to a stop while the cowboy's feet are on the ground.
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