Hinged rigid beam vs mass free fall

AI Thread Summary
The discussion centers on a foam cushion drop test where a 50 kg mass on a hinged platform separates from the platform upon dropping the raised end. This observation raises questions about the principles of free fall, particularly the independence of mass in acceleration. The phenomenon is explained through the concept of torque and angular acceleration, revealing that parts of the rod beyond a certain point experience vertical acceleration greater than gravitational acceleration. The calculations indicate that the angle of the rod affects the acceleration of points along its length. The findings highlight the complexities of motion in hinged systems compared to free-falling bodies.
CraigHyattOB
Messages
2
Reaction score
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:
 
Physics news on Phys.org
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
 
Thanks!
 
The rope is tied into the person (the load of 200 pounds) and the rope goes up from the person to a fixed pulley and back down to his hands. He hauls the rope to suspend himself in the air. What is the mechanical advantage of the system? The person will indeed only have to lift half of his body weight (roughly 100 pounds) because he now lessened the load by that same amount. This APPEARS to be a 2:1 because he can hold himself with half the force, but my question is: is that mechanical...
Hello everyone, Consider the problem in which a car is told to travel at 30 km/h for L kilometers and then at 60 km/h for another L kilometers. Next, you are asked to determine the average speed. My question is: although we know that the average speed in this case is the harmonic mean of the two speeds, is it also possible to state that the average speed over this 2L-kilometer stretch can be obtained as a weighted average of the two speeds? Best regards, DaTario
Some physics textbook writer told me that Newton's first law applies only on bodies that feel no interactions at all. He said that if a body is on rest or moves in constant velocity, there is no external force acting on it. But I have heard another form of the law that says the net force acting on a body must be zero. This means there is interactions involved after all. So which one is correct?
Back
Top