Dynamics: A wedge, a mass, and two pulleys

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SUMMARY

The discussion focuses on calculating the initial acceleration of a wedge with a block resting on it, specifically a block of mass m=2kg on a wedge of mass M=8kg. The problem assumes massless pulleys and smooth surfaces. Key insights include the necessity of incorporating tension (T) along the incline in the free body diagram (FBD) of the wedge to accurately determine the forces acting on it. Participants emphasize the importance of clearly showing calculations and introducing coordinate systems for better understanding.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with free body diagrams (FBDs)
  • Basic knowledge of tension in pulleys
  • Concept of acceleration in inclined planes
NEXT STEPS
  • Study the principles of Newton's second law in multi-body systems
  • Learn how to construct and analyze free body diagrams for complex systems
  • Explore the effects of tension in pulley systems
  • Investigate the dynamics of inclined planes and their motion equations
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding dynamics involving wedges and pulleys.

A185
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Homework Statement
In the arrangement shown in the figure, a block of mass m=2kg lies on the wedge of mass M=8kg.Find the initial acceleration of the wedge.
Assume pulleys and thread massless and surfaces smooth.
Relevant Equations
FBDs
Problem Statement: In the arrangement shown in the figure, a block of mass m=2kg lies on the wedge of mass M=8kg.Find the initial acceleration of the wedge.
Assume pulleys and thread massless and surfaces smooth.
Relevant Equations: FBDs

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IMG_20190730_113335.jpg
 
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It is hard to read what you did, you didn't introduce coordinates or describe what you calculated. It would be much easier if you show your work here in the thread and describe it as well.

Keep in mind that the motion of the block will not be aligned with the slope of the wedge as the wedge moves.
 
In your FBD of the wedge it looks like you missed tension ##T## along the incline.
 
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