Solve Torque Problem: 1.42M at 41.6 cm?

  • Thread starter Thread starter NasuSama
  • Start date Start date
  • Tags Tags
    Torque
AI Thread Summary
To solve the torque problem, the asymmetrical ruler is balanced at 40.9 cm, and mass M is hung at 100 cm. The equation for equilibrium is set up as 1.42Mg(x) = Mg(100 - 40.9), leading to an initial calculation of x ≈ 41.6 cm, which is marked incorrect. A revised approach using 1.42Mg(40.9 - x) = Mg(100 - 40.9) results in a negative value of x ≈ -0.72 cm. The discussion highlights the confusion between the two values and the need to understand their significance in the context of torque and equilibrium.
NasuSama
Messages
323
Reaction score
3

Homework Statement



Suppose the ruler in procedure 2 is asymetrical, and it is balanced at the 40.9 cm mark (at the center of mass). Now, mass M is hung on the ruler at the 100 cm mark. Where must you hang mass 1.42M so the system remains in equilibrium?
At the ... cm mark

Homework Equations



Torque equations...

The Attempt at a Solution



I think it goes this way...

1.42Mg(x) = Mg(100 - 40.9) where x is the distance from the 0 cm mark

Then, I get x ≈ 41.6 cm, but it's marked incorrect.
 
Physics news on Phys.org
Wait. It's..

1.42Mg(40.9 - x) = Mg(100 - 40.9)

Then, I obtain negative value, which is around...

x ≈ -0.720
 
What is a difference between x = 41.6 cm and the negative value -0.72 cm? There should be a difference between them.
 
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 '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