A skier with a mass of 60 kg moves on a hilly course that has a part where its shape can be described by a function of the form h(x) = A sin(kx), where A=2 meters, k = 0.2 m−1 and h is the height measured from the centre horizontal line of the ’wave’. Find the force exerted by the skier on the ground at the highest and at the lowest point of its course if he passes through the highest point at a speed of 5 m/s. The friction can be neglected everywhere. (Hint: Use physical arguments for finding the radius of curvature.)
A skier with a mass of 60 kg moves on a hilly course that has a part where its shape can be described by a function of the form h(x) = A sin(kx), where A=2 meters, k = 0.2 m−1 and h is the height measured from the centre horizontal line of the ’wave’. Find the force exerted by the skier on the ground at the highest and at the lowest point of its course if he passes through the highest point at a speed of 5 m/s. The friction can be neglected everywhere. (Hint: Use physical arguments for finding the radius of curvature.)
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.28P
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A skier with a mass of 60 kg moves on a hilly course that has a part where its shape can be described by a function of the form h(x) = A sin(kx), where A=2 meters, k = 0.2 m−1 and h is the height measured from the centre horizontal line of the ’wave’.
Find the force exerted by the skier on the ground at the highest and at the lowest point of its course if he passes through the highest point at a speed of 5 m/s.
The friction can be neglected everywhere.
(Hint: Use physical arguments for finding the radius of curvature.)
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