Why can't the acceleration of a wedge be found by simply....

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SUMMARY

The discussion focuses on the challenge of calculating the acceleration of a wedge when a mass is placed on it, specifically in a scenario involving a smooth wedge on a smooth plane. The correct approach involves applying Newton's second law, F=ma, to both the particle on the wedge and the entire system horizontally, rather than solely focusing on the wedge itself. This highlights the importance of considering relative motion and the interactions between the wedge and the mass.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Basic knowledge of relative acceleration concepts
  • Familiarity with smooth surfaces in physics problems
  • Ability to analyze systems involving multiple bodies
NEXT STEPS
  • Study the principles of relative motion in physics
  • Learn about the dynamics of systems with multiple interacting bodies
  • Explore examples of smooth wedge problems in classical mechanics
  • Investigate the application of free body diagrams in complex systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators seeking to clarify concepts related to relative acceleration and system interactions.

AStudentNeedsHelp
↪ mentor note: thread moved to h/w forum so template is missing ↩

Hi, I have recently been learning relative acceleration and I have a bit of trouble with basics;

In a problem with a smooth wedge on a smooth plane, a mass is gently placed on the wedge and I've been asked to find the acceleration of the wedge.
Seemed pretty straightforward, just apply F=ma for the wedge?
NO
The answer was obtained by applying F=ma for the particle parallel to the wedge and for the whole system horizontally.
Why couldn't I get the answer by just applying F=ma for the wedge?
 
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Does the question ask for the relative horizontal acceleration? The wedge moves one way, and the body moves the other way.
 
AStudentNeedsHelp said:
↪ mentor note: thread moved to h/w forum so template is missing ↩

Hi, I have recently been learning relative acceleration and I have a bit of trouble with basics;

In a problem with a smooth wedge on a smooth plane, a mass is gently placed on the wedge and I've been asked to find the acceleration of the wedge.
Seemed pretty straightforward, just apply F=ma for the wedge?
NO
The answer was obtained by applying F=ma for the particle parallel to the wedge and for the whole system horizontally.
Why couldn't I get the answer by just applying F=ma for the wedge?
How do you propose finding the net force acting on the wedge ?
 
You should probably use the homework template as per the guidelines. I'm not sure you've given enough information about the problem for anyone to be able to help you.
 

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