Explaining Fictitious Forces in Accelerating Carts

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SUMMARY

The discussion centers on the concept of fictitious forces as observed in accelerating frames of reference, specifically using a cart with a pendulum as an example. When the cart accelerates, an observer on the ground does not perceive fictitious forces acting on the pendulum; instead, the pendulum appears to accelerate forward at a slower rate than the cart. This phenomenon occurs because the observer is in an inertial frame of reference, where the pendulum's motion is consistent with Newtonian physics. The key takeaway is that fictitious forces are only relevant in non-inertial frames, such as the accelerating cart.

PREREQUISITES
  • Understanding of Newtonian physics
  • Familiarity with inertial and non-inertial frames of reference
  • Basic knowledge of pendulum motion
  • Concept of acceleration in physics
NEXT STEPS
  • Study the principles of non-inertial reference frames in classical mechanics
  • Explore the effects of acceleration on pendulum dynamics
  • Learn about fictitious forces in detail, including Coriolis and centrifugal forces
  • Investigate real-world applications of fictitious forces in engineering and physics
USEFUL FOR

Physics students, educators, and anyone interested in understanding the implications of acceleration on motion and forces in classical mechanics.

Luca 123
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Let's say there is a cart with a pendulum inside it. The cart then starts accelerating, while an observer on the ground remain still. I was told that the observer, standing still, would not observe any fictitious forces on the pendulum, so how does he explain the pendulum swinging backwards?
 
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The pendulum doesn't swing backwards for him. It accelerates forwards a little slower than the cart does.
 
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Luca 123 said:
I was told that the observer, standing still, would not observe any fictitious forces on the pendulum, so how does he explain the pendulum swinging backwards?
The term "observer" refers to a frame of reference. In a ground fixed coordinate system the pendulum never moves backwards.
 

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