M = 825kg R = 9m e = 75° D = 11m We're trying to design a roller coaster such that a cart with total mass m = 825kg with 4 wheels (m = 5.5kg, r = 0.25m) can safely pass through a loop of radius r = 9m. The cart must go down a ramp which makes an angle of 75 degrees then travel across a flat section before starting the loop. The wheels roll without slipping during this travel, and while there is no friction between the wheels and the track, there is friction inside the wheel itself. A constant friction force of 6N acts a distance of 8cm from the rotation point of the wheels. What is the minimum height, h, that we can start the cart at to safely make it through the loop? You can approximate the wheels as uniform rings.

M = 825kg R = 9m e = 75° D = 11m We're trying to design a roller coaster such that a cart with total mass m = 825kg with 4 wheels (m = 5.5kg, r = 0.25m) can safely pass through a loop of radius r = 9m. The cart must go down a ramp which makes an angle of 75 degrees then travel across a flat section before starting the loop. The wheels roll without slipping during this travel, and while there is no friction between the wheels and the track, there is friction inside the wheel itself. A constant friction force of 6N acts a distance of 8cm from the rotation point of the wheels. What is the minimum height, h, that we can start the cart at to safely make it through the loop? You can approximate the wheels as uniform rings.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Conservation Of Energy

Section: Chapter Questions

Problem 82P: A roller-coaster car shown in Figure P7.82 is released from rest from a height h and then moves...

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