Pulley and tensions in string segments

  • Thread starter Thread starter ritwik06
  • Start date Start date
  • Tags Tags
    Pulley String
AI Thread Summary
In a scenario with a massless string and a massive pulley, the tension in the string segments can vary depending on the system's dynamics. If the weights are stationary and equal, the tensions are typically the same due to symmetry. However, if the system involves moving masses or friction at the pulley, the tensions may differ. The book's mention of varying tensions likely considers these factors. Understanding the role of friction and motion is crucial in analyzing the tension in such systems.
ritwik06
Messages
577
Reaction score
0

Homework Statement


Here is a picture:
http://img233.imageshack.us/img233/2509/pulleywl8.png

If both the hanged weights be the same, what would be tensions in the two segments of the strings if the string is massless, but the pulley has a large mass.

I think it would be the same and independent of the mass of the pulley (in equilibrium position). But my book mentions it otherwise! Why??
 
Last edited by a moderator:
Physics news on Phys.org
ritwik06 said:
If both the hanged weights be the same, what would be tensions in the two segments of the strings if the string is massless, but the pulley has a large mass.

I think it would be the same and independent of the mass of the pulley (in equilibrium position). But my book mentions it otherwise! Why??

Hi ritwik06! :smile:

If the masses are stationary, then from symmetry the tensions must be the same.

Are the masses moving? Is there friction between the rope and the pulley, or between the pulley and its own axle?

Can you show us more of what the book says?
 
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}...

Similar threads

Replies
18
Views
4K
Replies
27
Views
2K
Replies
12
Views
1K
Replies
29
Views
5K
Replies
22
Views
3K
Replies
8
Views
3K
Back
Top