Understanding the Relationship between Tension, Teeth, and Force

AI Thread Summary
The discussion revolves around calculating the force applied to a front tooth by an elastic cord with a tension of 1.3 N. Participants suggest creating a force diagram to resolve the tension into its components for accurate calculation. One user expresses frustration over multiple failed attempts but ultimately finds the solution. The conversation emphasizes the importance of understanding tension and its effects in dental applications. The thread concludes with a successful resolution to the problem.
lovelockdown
Messages
3
Reaction score
0
Tension, Teeth, and Force?

The drawing below shows an elastic cord attached to two back teeth and stretched across a front tooth. The purpose of this arrangement is to apply a force to the front tooth. (The figure has been simplified by running the cord straight from the front tooth to the back teeth.) If the tension in the cord is 1.3 N, what are the magnitude and direction of the force applied to the front tooth?

fig-047.gif


I'm completely stumped, I've tried every equation I know of. I'm sure the answer is obvious but right now I think I'm thinking too hard.
Help please? :cry:
 
Physics news on Phys.org


lovelockdown said:
The drawing below shows an elastic cord attached to two back teeth and stretched across a front tooth. The purpose of this arrangement is to apply a force to the front tooth. (The figure has been simplified by running the cord straight from the front tooth to the back teeth.) If the tension in the cord is 1.3 N, what are the magnitude and direction of the force applied to the front tooth?

fig-047.gif


I'm completely stumped, I've tried every equation I know of. I'm sure the answer is obvious but right now I think I'm thinking too hard.
Help please? :cry:

Welcome to PF.

You have a drawing, but make a force diagram and resolve the tension with respect to the components of each side. Then add up the x and add up the y components. Whatever they add to is the resulting force.
 


I've drawn out roughly four or five and none of them seem to be working. I only have 3 attempts left on this problem (It's an online assignment). Any tips?
 


I GOT IT! Finally! Thanks for your time! =)
 
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