Angular Momentum Problem formula

AI Thread Summary
The discussion revolves around a problem related to the conservation of angular momentum, where one participant is seeking help to understand the solution. Another participant clarifies that the problem actually involves the change in angular momentum rather than conservation. They suggest using the appropriate formula for change in angular momentum to solve the problem. After some effort, the original poster successfully applies the formula involving the sum of all moments and cross products to arrive at the correct answer. The exchange highlights the importance of distinguishing between conservation and change in angular momentum in problem-solving.
blue-steel
Messages
6
Reaction score
0
Ive been trying to figure this problem for a while and I am stumped, If anyone has any ideas
Id really appreciate it - The problem deals with conservation of angular momentum
and the answer is provided but I don't know how to get there

please see the attached image of the problem>>

Thanks :approve:
 

Attachments

  • DynamicsProblem.JPG
    DynamicsProblem.JPG
    32.7 KB · Views: 428
Physics news on Phys.org
Hi blue-steel,

blue-steel said:
Ive been trying to figure this problem for a while and I am stumped, If anyone has any ideas
Id really appreciate it - The problem deals with conservation of angular momentum

I don't think that is right; this problem deals not with the conservation of angular momentum, but with the change in angular momentum. What formula gives you the change in angular momentum of a system?

Once you have that formula, you can almost just plug in the numbers to get your answer. What do you get?
 
Hi alphaphysicist

I tried the Sum of all moments = change in angular momentum formula, it took me a while to figure out how to work with the cross products but I got the answer in the end, thanks :wink:
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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