Max Velocity of Wedge: When Block Reaches Height h

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Homework Help Overview

The discussion revolves around a physics problem involving a wedge on a smooth surface and a block sliding within its depression. The main question is about determining the instant at which the velocity of the wedge is maximized as the block reaches a certain height.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between the forces acting on the wedge and the block, questioning the conditions under which the wedge's velocity is maximized. There are discussions about the balance of forces, conservation of energy, and the role of the wall in the scenario.

Discussion Status

Participants are actively questioning the assumptions made about the forces acting on the wedge and the block. Some have provided insights into the dynamics involved, while others are clarifying the conditions under which maximum velocity occurs. There is an ongoing exploration of the relationship between the block's position and the resulting forces on the wedge.

Contextual Notes

There are references to diagrams that illustrate the problem setup, and participants are considering the implications of the block's motion relative to the wedge and the wall. The discussion includes corrections to initial statements and clarifications about the forces involved.

  • #31
gracy said:
Because as long force is there ,acceleration will also be there and so velocity will go on increasing and there will not be any instant when we can say that it is maximum velocity that's why when there is no horizontal force no acceleration as well as deceleration ,at that moment velocity will be maximum and that is certainly the midpoint of depression.Right?
Is this correct?
 
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  • #32
haruspex said:
If the block is not at the middle of the depression then the speed of the wedge is changing.
But it must be having some instantaneous velocity just before coming to mid point of depression.
 
Last edited:
  • #33
gracy said:
But it must be having some instantaneous velocity just before coming to mid point of depression.
Yes... so?
 
  • #34
gracy said:
But it must be having some instantaneous velocity just before coming to mid point of depression.
But it must be having some instantaneous velocity just before the block comes to mid point of depression.[/QUOTE]By it I mean wedge.
 
  • #35
gracy said:
But it must be having some instantaneous velocity just before the block comes to mid point of depression.
By it I mean wedge.[/QUOTE]
I agreed the wedge would have some instantaneous velocity before the block reaches the mid point. But it will not be quite as much as when the block is at the mid point.
 
  • #36
haruspex said:
But it will not be quite as much as when the block is at the mid point.
Why?
 
  • #37
gracy said:
Why?
Because as long as the block is not exactly at the mid point the normal force will have a horizontal component, accelerating the wedge.
 
  • #38
haruspex said:
Because as long as the block is not exactly at the mid point the normal force will have a horizontal component, accelerating the wedge.
That's why I have used the term just before coming at mid point.So that there will not be any horizontal force after that.
 
  • #39
It
gracy said:
That's why I have used the term just before coming at mid point.So that there will not be any horizontal force after that.
It's either at the mid point or it isn't. If it's not at the midpoint then there is a horizontal force, no matter how small.
 

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