Hinged rigid beam vs mass free fall

In summary, the conversation discusses a problem with an ASTM foam cushion drop test and the discovery of a 50 kg mass separating from a hinged platform during the test. The person investigating noticed this phenomenon and wondered why the free end of the platform accelerated faster than the mass, despite the fact that the old cannon balls dropped from the Tower of Pisa story says acceleration in free fall is independent of mass. To investigate, the person duplicated the effect with a ruler and steel nut and found that angular acceleration can be calculated using the equation ## \alpha = \frac{3g\cos\theta}{2l} ##, where ##\theta## is the angle with horizontal of the rod. It was determined that any point on the rod beyond
  • #1
CraigHyattOB
2
0
Our test group had some issues with an ASTM foam cushion drop test, and I was asked to investigate. I fixed the problem, but noticed something in a high speed video. A 50 kg mass on the hinged platform separates from the platform when the raised end of the platform is dropped. I thought the old cannon balls dropped from the Tower of Pisa story says acceleration in free fall is independent of mass. Why does the free end of the platform accelerate faster than the mass? I duplicated the effect with a ruler and steel nut:
 
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  • #2
Acc. is same for free falling bodies. Take torque about the stationary end of the rod and find angular acc.
## \alpha = \frac{3g\cos\theta}{2l} ##​
Here ##\theta## is the angle with horizontal of rod, so any point on the rod beyond ##\frac{2l}{3g\cos^2\theta}## will have vetical acc. more than g . So it is somewhere here that you are placing the nut.
Hope that helps
 
  • #3
Thanks!
 

1. What is a hinged rigid beam?

A hinged rigid beam is a structural element that is supported on one end by a hinge and is able to rotate freely at that point. It is commonly used in engineering and construction to support loads and distribute forces.

2. How does a hinged rigid beam differ from a mass in free fall?

A hinged rigid beam is a static structure that is fixed at one end, while a mass in free fall is a dynamic object that is subject to the force of gravity and moves freely without any external support.

3. What are the main differences between the two systems?

The main differences between a hinged rigid beam and a mass in free fall are their purpose, behavior, and forces acting on them. A hinged rigid beam is designed to support loads and is limited in its movement, while a mass in free fall is subject to gravity and can move freely in any direction.

4. How do hinged rigid beams and masses in free fall affect each other in a system?

In a system where a hinged rigid beam and a mass in free fall are present, the beam acts as a support for the mass and distributes the forces acting on it. The mass, in turn, exerts a force on the beam, causing it to bend or deform.

5. Which system is more commonly used in real-life applications?

Both hinged rigid beams and masses in free fall have practical applications in different fields. Hinged rigid beams are commonly used in buildings, bridges, and other structures to support loads, while masses in free fall are used in physics experiments and in the design of certain mechanical systems, such as pendulums and cranes.

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