Wedge and block initial momentum

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SUMMARY

The discussion focuses on the dynamics of a block sliding down a smooth triangular wedge and the resulting motion of the wedge. The conservation of linear momentum and energy principles are applied to derive the velocities of both the block and the wedge. The initial conditions are clarified, indicating that both the block and wedge start from rest at a height h. The confusion regarding initial momentum being zero is addressed, emphasizing that the system is at rest before the block is released.

PREREQUISITES
  • Understanding of conservation of linear momentum
  • Knowledge of conservation of energy principles
  • Familiarity with kinematics in classical mechanics
  • Basic concepts of forces acting on inclined planes
NEXT STEPS
  • Study the application of conservation of momentum in non-inertial frames
  • Learn about the dynamics of systems involving inclined planes and frictionless surfaces
  • Explore advanced kinematics problems involving multiple bodies
  • Investigate the effects of different angles on the motion of blocks on wedges
USEFUL FOR

Students of physics, particularly those studying mechanics, educators teaching classical mechanics concepts, and anyone interested in solving dynamics problems involving multiple interacting bodies.

  • #91
ehild said:
The problem was poorly worded.
I have given my best.
 
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  • #92
gracy said:
h=1/2 MV^2(M+m)÷m^2 g.
g is in multiplication with m^2.
Then write it as h=1/2 MV^2(M+m)/(m^2 g)
 
  • #93
gracy said:
I have given my best.

Well, your teacher had to be more clear.
 

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