Applying Newtons Laws in a 'cable car' situation

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SUMMARY

The discussion focuses on applying Newton's Laws to analyze the forces acting on an alpine cable car system. With a maximum permissible mass of 2800 kg and an acceleration of 0.81 m/s² up a 35-degree incline, participants calculate the difference in tension between adjacent sections of the pull cable. A free-body diagram is essential for visualizing the forces, including gravitational force and tension, to determine the net force required for the specified acceleration. The relationship between net force and cable tensions is crucial for understanding the system's dynamics.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Basic knowledge of free-body diagrams
  • Familiarity with trigonometric functions for incline calculations
  • Concept of tension in cables and forces in a pulley system
NEXT STEPS
  • Calculate the gravitational force acting on the cable car using the formula F = mg
  • Learn how to draw and analyze free-body diagrams for inclined planes
  • Explore the relationship between tension and acceleration in pulley systems
  • Study the effects of different angles of incline on tension and acceleration
USEFUL FOR

Physics students, engineering students, and professionals involved in mechanical systems or cable car design will benefit from this discussion.

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http://img.photobucket.com/albums/v638/ravenatic20/cablecars.jpg
Like my MS Paint skills? haha
The image shows a section of an alpine cable-car system. The maximum permissible mass of each car with occupants is 2800 kg. The cars, riding on a support cable, are pulled by a second cable attached to each pylon (support tower); assume the cables are straight. What is the difference in tension between adjacent sections of pull cable if the cars are at the maximum permissible mass and are being accelerated up the 35 degree incline at 0.81 m/s^2 ? What do I do here?
 
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Draw a free-body diagram of one of the cars. What net force is required to give the car the stated acceleration? How is that net force related to the cable tensions?
 

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