What is the Minimum Velocity for a Rod Laying Against a Wall?

In summary, the minimum velocity needed for a rod to stay against a wall depends on several factors such as the length and weight of the rod, the angle at which it is leaning against the wall, and the coefficient of friction between the rod and the wall. A longer rod and a larger angle will require a higher minimum velocity, while a heavier rod and a higher coefficient of friction will also increase the minimum velocity needed.
  • #1
teng125
416
0
does anybody know the rules to find minimum velocy in a rod laying against the wall with specific angle??
 
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  • #2
The rule is that when an object is stationary (i.e. lying against the wall) then its velocity is 0 relative to the wall and is independent of the angle. I think you left a few details out of your question. :)
 
  • #3


The minimum velocity for a rod laying against a wall can be determined using the principles of statics and friction. The key factor to consider is the angle at which the rod is resting against the wall. The minimum velocity will depend on this angle, as well as the coefficient of static friction between the rod and the wall.

To find the minimum velocity, you can use the equation Vmin = μtanθ, where μ is the coefficient of static friction and θ is the angle at which the rod is resting against the wall. This equation assumes that there is no external force acting on the rod and that the rod is in equilibrium.

To determine the angle θ, you can use the equation tanθ = h/L, where h is the height of the rod and L is the distance from the wall to the end of the rod. Once you have calculated the angle, you can plug it into the first equation to find the minimum velocity required to keep the rod in place.

It is important to note that the minimum velocity calculated using these equations is the minimum velocity required to prevent the rod from slipping down the wall. If the velocity is lower than this minimum value, the rod will start to slip and fall. However, if the velocity is higher than the minimum value, the rod will remain in place due to the force of friction.

In conclusion, the minimum velocity for a rod laying against a wall is dependent on the angle at which the rod is resting and the coefficient of static friction between the rod and the wall. By using the equations mentioned above, you can calculate the minimum velocity and ensure that the rod remains in place.
 

1. What is the minimum velocity needed for a rod to stay against a wall?

The minimum velocity needed for a rod to stay against a wall depends on several factors such as the length and weight of the rod, the angle at which it is leaning against the wall, and the coefficient of friction between the rod and the wall. Therefore, there is no single minimum velocity that can be determined.

2. How does the length of the rod affect the minimum velocity?

The longer the rod, the higher the minimum velocity needed for it to stay against the wall. This is because a longer rod has more surface area in contact with the wall, resulting in a larger frictional force that needs to be overcome.

3. What role does the angle of the rod play in determining the minimum velocity?

The angle at which the rod is leaning against the wall affects the minimum velocity needed for it to stay in place. A rod that is perpendicular to the wall will require a higher minimum velocity compared to a rod that is leaning at a smaller angle. This is because a perpendicular rod has a larger component of its weight acting parallel to the wall, increasing the frictional force.

4. Does the weight of the rod affect the minimum velocity?

Yes, the weight of the rod plays a significant role in determining the minimum velocity needed for it to stay against the wall. A heavier rod will require a higher minimum velocity to overcome its weight and the frictional force between the rod and the wall.

5. How does the coefficient of friction between the rod and the wall impact the minimum velocity?

The coefficient of friction is a measure of the amount of friction between two surfaces. A higher coefficient of friction means that the rod will require a higher minimum velocity to overcome the frictional force and remain against the wall. This is because a higher coefficient of friction indicates a stronger grip between the rod and the wall.

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