Why doesn't static friction move the other object?

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SUMMARY

The discussion centers on the mechanics of static friction and its effects on a block resting on a table, particularly when the table is on a frictionless surface. When a force is applied to the block, static friction acts in the opposite direction, and by Newton's Third Law, an equal and opposite force acts on the table. If the table is indeed on a frictionless surface, it will move when the block is pushed to the verge of slipping. The conversation emphasizes the importance of free body diagrams to clarify the forces at play and solve the problem quantitatively.

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  • Understanding of Newton's Third Law of Motion
  • Familiarity with static friction concepts
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phantomvommand
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Consider a block sitting on top of a table.

When we push the block rightwards, static friction opposes its motion by acting leftwards on the block.

By Newton's 3rd Law, static friction should act rightwards on the table.

There is now a net rightwards force on the table. Why doesn't the table move?

Assume the table is on a frictionless surface.
 
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phantomvommand said:
Why doesn't the table move?

Who says it doesn't? Have you TRIED this experiment?
 
phinds said:
Who says it doesn't? Have you TRIED this experiment?
Sorry, I stated my question wrongly.

If we pushed the table (on the frictionless surface) such that it is on the verge of slipping, does the block on the table move?
 
phantomvommand said:
Why doesn't the table move?

Assume the table is on a frictionless surface.
If the table is on a frictionless surface then it does move.
 
Dale said:
If the table is on a frictionless surface then it does move.
Sorry, I stated my question wrongly.

If we pushed the table (on the frictionless surface) such that it is on the verge of slipping, does the block on the table move?
 
You should draw two free body diagrams. One for the block and one for the table. That should make it pretty clear, and will make it easy to solve quantitatively.
 
Dale said:
You should draw two free body diagrams. One for the block and one for the table. That should make it pretty clear, and will make it easy to solve quantitatively.
Wld I be right to say that the object does move?

Screenshot 2022-08-15 at 1.28.41 AM.png

Screenshot 2022-08-15 at 1.28.56 AM.png


I ask this because this exam question seems to suggest that the Horse (analogous to the object) can somehow remain on the verge of slipping.
 
We assume that the table/tablecloth interface is frictionless.

[edit: Regarding the horse/tablecoth, what kind of friction are we talking about ? ]
 
hmmm27 said:
We assume that the table/tablecloth interface is frictionless.
Which means that the leftward static friction force acts on the table cloth along the Horse/cloth interface?

By N3L, a rightward static friction acts on the horse?
 
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phantomvommand said:
If we pushed the table (on the frictionless surface) such that it is on the verge of slipping, does the block on the table move?
Are you pushing the table so that the table is on the verge of slipping against the block?

[Based on the toy horse example, the answer is "yes"]

If the floor is frictionless, this is actually an identical scenario to pushing the block so that the block is on the verge of slipping against the table. You have two objects with a fixed normal force between them and a non-zero coefficient of friction for their mating surfaces. One object is subject to an external force. No other [horizontal] forces are acting.

Similarly, one could place a box of tools in the bed of a pick-up truck and gently accelerate from a red light. Can one maintain a steady acceleration such that the box is always on the verge of slipping toward the rear of the bed?

Can a waitress holding a tray of beer steins keep the tray perfectly horizontal as she moves smoothly across the room to the table of thirsty businessmen, accelerating and then decellerating as she goes?

If you put a coin on top of a textbook, can you keep the book level while moving it back and forth so that the coin stays in place relative to the book? [I tried it 10 seconds ago. Yes, I can]
 
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