Simple vector on a train drawing problem

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SUMMARY

The discussion centers on the physics problem of drawing free-body diagrams for a ball hanging from a string in a train car. When the train moves with uniform velocity, the forces acting on the ball are gravity and tension, which must be equal in magnitude but opposite in direction. In contrast, if the train accelerates, an additional force due to the train's acceleration must be represented, resulting in a net force that is not balanced. The incorrect labeling of forces in the initial diagram led to confusion and an incorrect assessment by the physics tool used.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with free-body diagrams
  • Knowledge of vector representation in physics
  • Basic concepts of acceleration and forces
NEXT STEPS
  • Study the principles of free-body diagrams in physics
  • Learn about vector addition and resolution of forces
  • Explore the effects of acceleration on objects in non-inertial frames
  • Review examples of uniform and non-uniform motion in physics
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of objects in motion.

kirby27
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The problem statement, all vaA ball is hanging from a long string that is tied to the ceiling of a train car traveling eastward on horizontal tracks. An observer inside the train car sees the ball hang motionless.

Draw a clearly labeled free-body diagram for the ball if the train has a uniform velocity.

Draw a clearly labeled free-body diagram for the ball if the train is speeding up uniformly.

-for the first one i drew two vectors. one up. one down with the same magnitude and mastering physics said it was wrong. i don't know why?
 
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kirby27 said:
The problem statement, all vaA ball is hanging from a long string that is tied to the ceiling of a train car traveling eastward on horizontal tracks. An observer inside the train car sees the ball hang motionless.

Draw a clearly labeled free-body diagram for the ball if the train has a uniform velocity.

Draw a clearly labeled free-body diagram for the ball if the train is speeding up uniformly.

-for the first one i drew two vectors. one up. one down with the same magnitude and mastering physics said it was wrong. i don't know why?

What labels did you use for those two forces? Perhaps that was the problem.
 

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