16) Thrill Ride: A loaded car of mass M in an amusement park ride rolls without friction around the track shown below. It starts from rest at point A, and goes through the loop, just barely making it at point B. at the top of the loop. The radius of the circular loop is R. At the end of the path, near point C, the car momentarily comes to rest after compressing the spring by a distance of Ax. Ignore friction. (Symbols first, then numbers: M = 800 kg, R = 10 m, Ar = 5.0 m) a) Determine (i) the radial acceleration, and (ii) the speed at B. (See PSL 6.12.) b) Determine the vertical height at A. Use WET (KE&PE). c) Determine the stiffness constant of the spring. d) Is this ride safe at C? Determine the maximum acceleration during the compression of the spring.
16) Thrill Ride: A loaded car of mass M in an amusement park ride rolls without friction around the track shown below. It starts from rest at point A, and goes through the loop, just barely making it at point B. at the top of the loop. The radius of the circular loop is R. At the end of the path, near point C, the car momentarily comes to rest after compressing the spring by a distance of Ax. Ignore friction. (Symbols first, then numbers: M = 800 kg, R = 10 m, Ar = 5.0 m) a) Determine (i) the radial acceleration, and (ii) the speed at B. (See PSL 6.12.) b) Determine the vertical height at A. Use WET (KE&PE). c) Determine the stiffness constant of the spring. d) Is this ride safe at C? Determine the maximum acceleration during the compression of the spring.
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Circular Motion And Other Applications Of Newton’s Laws
Section: Chapter Questions
Problem 6.4OQ: A pendulum consists of a small object called a bob hanging from a light cord of fixed length, with...
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