Collision with hexagonal system of bars

In summary, when an impulsive force is applied to one bar in a system of six hinged bars, the opposite bar will move with the same speed due to Newton's Third Law.
  • #1
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Don't know if this has already been asked.
A system of six hinged (articulated?) bars, all equal, forming an hexagon is placed on a flat surface. Everything is without friction.

An impulsive force (extremely short time duration, very high intensity, like an elastic collision from rigid bodies) is applied from outside of the system, perpendicularly in the centre of one of the bars, along the surface. As a consequence this bar acquires, immediately after this collision, a speed v in the direction of the force.

Which is the speed at which it moves the bar opposite to this one, in the hexagon, immediately after the collision?

Trying to solve this problem computing all the constraints forces is mind-boggling.
Any idea?

Thank you.
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The answer to this question is that the bar opposite to the one that received the impulsive force will move with the same speed, v. This is due to Newton's Third Law of Motion, which states that for every action there is an equal and opposite reaction. Therefore, since the bar that received the impulsive force has been given a speed of v, it will cause the opposite bar to also move with the same speed.
 

FAQ: Collision with hexagonal system of bars

What is a hexagonal system of bars?

A hexagonal system of bars is a geometric arrangement of bars or rods in a hexagonal pattern. This structure is often used in engineering and construction for its strength and stability.

How does a collision with a hexagonal system of bars occur?

A collision with a hexagonal system of bars can occur when an object or force comes into contact with the bars, causing them to bend or break. This can happen due to external factors such as impact from a vehicle or natural disasters like earthquakes.

What are the potential consequences of a collision with a hexagonal system of bars?

The consequences of a collision with a hexagonal system of bars can vary depending on the intensity of the impact and the strength of the bars. In some cases, the bars may be able to withstand the collision without significant damage. However, if the force of the collision is strong enough, it can cause the bars to bend, break, or collapse, potentially resulting in structural damage or injury.

How can collisions with hexagonal systems of bars be prevented?

To prevent collisions with hexagonal systems of bars, proper design, construction, and maintenance are crucial. Engineers and architects must carefully plan and consider the potential impact forces that the bars may encounter. Regular inspections and repairs can also help identify and address any weak points in the structure.

Are there any real-life examples of collisions with hexagonal systems of bars?

Yes, there have been several instances of collisions with hexagonal systems of bars in real life. One notable example is the collapse of the Tacoma Narrows Bridge in 1940 due to strong winds causing the hexagonal bars to vibrate and ultimately fail. This event led to improvements in bridge design and construction to prevent similar incidents in the future.

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