Calculating Tension of Rope with Parallel Forces

AI Thread Summary
A uniform 2.50-N meterstick is suspended by a rope with additional weights at specific points. To find the tension in the rope, the system's center of gravity must be determined, which is influenced by the weights and the meterstick's mass. The discussion highlights the importance of equilibrium in calculating the tension without needing torque arms. Clarification was made regarding the correct weight conversion, confirming the proper calculations. The problem was ultimately resolved with a better understanding of the forces at play.
schang
Messages
3
Reaction score
0
[SOLVED] parallel forces

A uniform 2.50-N meterstick is hung from the ceiling by a single rope. A 500.0-g mass is hung at the 25.0-cm mark and a 650.0-g mass at the 70.0-cm mark. (a) what is the tension of the rope? (b) where is the rope attached to the meterstick?Well, first I converted all the weights into Newtons and then added 1.25 N at the 50 cm mark to account for the mass of the meterstick. But...

How can I find the tension of the rope if I don't know where it is? Even if I place the pivot point at the rope, I can't calculate the torques of the other forces because I don't have the torque arms...
 
Physics news on Phys.org
Hello,

If the system is in equilibrium (the meter stick isn't tipping over to one side) then you do know where the rope is-- it must be at the center of gravity of the meter stick+weights system. You don't need to have the torque arms to calculate the force gravity is imparting on the weights.

Do you know how to calculate where this is on the stick? Also, what was the reasoning behind adding 1.25 N, as opposed to 2.50 N?
 
oh my mistake, i did that on my work, i don't know why i wrote that.
i've got it now, thanks!
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top