Calculating Most Probable Point of Rupture on a Falling Pole

AI Thread Summary
The discussion revolves around calculating the most probable point of rupture on a 30-meter falling pole pivoted at the bottom. Participants express uncertainty about how to approach the problem, indicating it may be beyond their current physics knowledge. Key insights mention that as the pole falls, forces acting perpendicular to it contribute to potential rupture points. The conversation highlights a lack of clarity on how to visualize or solve the problem effectively. Overall, assistance in understanding the mechanics involved in determining the rupture point is requested.
Jamadar
Messages
11
Reaction score
0

Homework Statement



A thin uniform pole of length 30 m is pivoted at the bottom end. Calculate the most probable point of rupture on the pole as the pole falls.

Homework Equations


I'm really not sure how to start.

The Attempt at a Solution


None, our professor gave us this as a challenge problem and I don't believe it is something I should know taking general physics. Clarification on even where to start would be nice.
 
Physics news on Phys.org
Have you found out how to solve this yet? I have no idea.
 
Still nothing.
 
Damn. I'm not even sure what this is supposed to look like. No figure or anything.
 
So I got some more information if anyone still is helping.

while the pole is falling, at any location of the pole there are forces that try to snap the pole. One goes up perpendicular to the pole and the other comes down perpendicular to the pole. That is why an old fragile pole breaks down while its falling full-length. These forces snap the pole into two pieces.

I'm still not exactly sure how to go about finding the rupture point off of this so it be great for help.
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top