Dynamics help: Block on a wedge on an incline (frictionless surfaces)

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Discussion Overview

The discussion revolves around a homework problem involving a block on a wedge on an incline with frictionless surfaces. Participants explore concepts related to relative motion, forces, and energy conservation within the context of Newton's second law.

Discussion Character

  • Homework-related, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses difficulty with relative motion in problems involving moving inclines and seeks assistance.
  • Another participant emphasizes the importance of adhering to homework guidelines and encourages the original poster to engage more actively with the problem.
  • A participant suggests using energy methods instead of forces to approach the problem.
  • Another participant proposes using both energy and momentum conservation, but acknowledges the requirement to apply forces due to the context of Newton's second law.
  • One participant mentions the challenge of reading diagrams and suggests writing down all forces and identifying physical constraints related to the motion of the blocks.
  • Concerns are raised about the clarity of the provided solutions, with one participant noting a lack of explanation in favor of numerical results.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to solve the problem, with differing opinions on whether to use energy methods or force analysis. The discussion remains unresolved regarding the most effective strategy for tackling the homework problem.

Contextual Notes

Participants highlight the complexity of the problem, including the difficulty in interpreting diagrams and the need to establish relationships between the motions of the block and the incline. There are unresolved aspects related to the application of Newton's second law and the clarity of the solutions provided.

Pipsqueakalchemist
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Homework Statement
Block B of mass 10-kg rests as shown on the upper surface of a 22-kg wedge A. Knowing that the system is released from rest and neglecting friction, determine (a) the acceleration of B, (b) the velocity of B relative to A at 0.5 s
Relevant Equations
Newton’s 2nd law
Relative motion
So I’m having trouble with relative motion with moving inclines and I literally can’t find any help online and my prof does a lot of these problems. This is one of my homework problems, can anyone help me with it please.
 

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Try using energy, rather than forces.
 
PeroK said:
Try using energy and momentum conservation, rather than forces.
But this for Newton’s 2nd law section so I have to use forces. Do you want to see the solutions and maybe you’ll understand better than me.
 

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Wished I joined this forum sooner ,my midterm is in a few hours and I kinda just accepted that I’m screwed at this point. Hopefully I can understand this better for the exam 😓
 
Pipsqueakalchemist said:
But this for Newton’s 2nd law section so I have to use forces. Do you want to see the solutions and maybe you’ll understand better than me.
The diagrams are hard to read. The idea is that you write down all the forces (obviously) then look for physical constraints: in this case the relationship between the motion of the small block and the large block. Then it's a case of solving the simultaneous equations.

The solution looks light on explanation and heavy on numbers to me.
 

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