Solving the Tension in Two Hanging Paint Buckets

  • Thread starter Thread starter lim
  • Start date Start date
  • Tags Tags
    Force
AI Thread Summary
The problem involves two 3.90 kg paint buckets hanging from each other, requiring the calculation of tension in both cords. The tension in the lower cord is determined to be 9.8 N, which is the weight of the lower bucket. For the upper cord, the tension is calculated by adding the weight of both buckets, resulting in 76.44 N. The discussion emphasizes the importance of understanding that weight is the force due to gravity, calculated using F=ma. Accurate calculations are essential for solving such tension problems effectively.
lim
Messages
19
Reaction score
0

Homework Statement



One 3.90 kg paint bucket is hanging by a massless cord from another 3.90 kg paint bucket, also hanging by a massless cord, as shown in figure below. If the buckets are at rest, what is the tension in the lower cord? What is the tension in the upper cord?


Homework Equations


Tlower = ma + W
F=ma

The Attempt at a Solution



T = (3.9)(0) + 9.8

T= 9.8 N

?
I wasn't getting the lower tension right, so I figured I should find out how to do that first, hence no work for the upper tension.
Any help appreciated
 
Last edited:
Physics news on Phys.org
The weight of an object is given by the product of its mass and the acceleration due to gravity.
 
Ohh. So, the tension of the upper cord is Tu = ma + W + Tl, so Tu = 0 + 38.2 + 38.2N, Tu = 76.44 N.
Thanks!
 
Just remember that weight is the force on an object due to gravity. It can sometimes get confusing because it has its own name but its just given by F=ma where a is the acceleration due to gravity.
 
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...

Similar threads

Replies
2
Views
2K
Replies
2
Views
3K
Replies
3
Views
3K
Replies
4
Views
1K
Replies
21
Views
242
Replies
3
Views
3K
Back
Top