Conceptual Question: Block on a wedge on a frictionless surface

In summary, the question is whether an inclined plane, set on top of a frictionless surface and with a block on top, would move. The answer depends on the weight of the block and the presence or absence of friction. If the weight of the block is greater than the static friction, the inclined plane will move. If the weight is less than the static friction, the plane will not move.
  • #1
msun5040
2
0

Homework Statement


This is more of a conceptual question, but say a block was set on top of an inclined plane, which was set on top of a frictionless level surface. Would the inclined plane move? Why or why not

Homework Equations


None

The Attempt at a Solution


My thought process was that since the the surface is level, it would mean that the inclined plane would not move. However, I don't know how gravity would play into this situation.
 
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  • #2
Let's say that the block had mass and the inclined plane had none - or very little.
The block is applying a force to the inclined plane that is normal to its surface. So the block is not pushing straight down on the block - it is pushing down and to the side.

So you tell me what will happen to that inclined plane.
 
  • #3
You didn’t say the plane was frictionless, so you will need to consider two different cases. Either the component along the incline of the weight of the block exceeds static friction or it doesn’t.
 

1. What is a block on a wedge on a frictionless surface?

A block on a wedge on a frictionless surface is a simple physics setup in which a block is placed on top of a wedge-shaped object and both are placed on a surface with no friction. This setup is commonly used in physics problems to study the effects of forces and motion on objects.

2. How does the angle of the wedge affect the motion of the block?

The angle of the wedge plays a crucial role in determining the motion of the block. As the angle increases, the force required to keep the block in place also increases. This is due to the component of the weight of the block acting parallel to the surface, which increases with the angle.

3. What happens to the acceleration of the block as the wedge angle increases?

As the wedge angle increases, the acceleration of the block decreases. This is because the force required to keep the block in place also increases with the angle, resulting in a smaller net force available to accelerate the block. In other words, the steeper the wedge, the more difficult it is for the block to move.

4. How does the presence of friction affect the motion of the block on a wedge?

If there is friction present between the block and the wedge, it will act in the opposite direction of the motion of the block. This will cause the block to move slower and with a different trajectory compared to the case of a frictionless surface. Friction also reduces the angle at which the block will start to slide down the wedge.

5. What is the significance of studying a block on a wedge on a frictionless surface?

This setup allows us to understand the principles of forces, motion, and equilibrium in a simplified system. By removing the effects of friction, we can focus on the fundamental concepts and make predictions about the behavior of the block. This setup is also commonly used to analyze more complex systems, such as inclined planes and ramps.

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