Different Tensions Acting on a Weight

  • Thread starter Thread starter student34
  • Start date Start date
  • Tags Tags
    Weight
AI Thread Summary
The discussion revolves around calculating the tensions in a string supporting a mass at two different positions. Initially, T1 is defined as Fg multiplied by the tangent of angle θ, while T2 is calculated as Fg divided by the cosine of θ. Participants express uncertainty about the correctness of these equations and seek clarification on the forces and accelerations acting on the mass in both scenarios. There is a focus on resolving the forces to derive accurate equations for tension. Understanding the dynamics of the system is essential for solving the problem correctly.
student34
Messages
639
Reaction score
21

Homework Statement



A 1 kg mass is hanging from a weightless string and is pulled by another weightless string to an angle of θ from the vertical. The string pulling on the weight is exactly perpendicular to Fg. When the horizontal string is cut, the weight swings 2θ. What is the tension (T1) in the string before the horizontal string is cut, and what is the tension (T2) in the string when the weight swings to 2θ?

Homework Equations



T1 = FgTanθ, T2 = Fg/cosθ

The Attempt at a Solution



T2 = 9.81N/cosθ
T1 = T2sinθ
 
Physics news on Phys.org
I don't think either of the equations is correct.
What are all the forces and accelerations in the two cases?
Which way will you resolve them to extract the equations?
 

Thread 'Errors and significant figures'

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...
View full post »
Thread 'A cylinder connected to a hanging mass'

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...
View full post »

Similar threads

To find the distance of a horizontally suspended rod from a ceiling
Replies
2
Views
1K
Calculating tensions and acceleration
Replies
10
Views
2K
Quick Question about Torque and Tension
Replies
7
Views
3K
Force pulling on a string at an angle with a block at the other end
Replies
2
Views
1K
How is tension in a string affected by moment of inertia?
Replies
2
Views
4K
Resolving forces: Mass on a string
Replies
4
Views
4K
Finding Tensions and Accelerations with Moveable Pulley
Replies
5
Views
2K
Force on a pin from a pendulum and a string
Replies
4
Views
3K
Find the tension in the lower string and the rotation rate
Replies
9
Views
4K
What Happens to the Tensions in a Cut String Problem?
Replies
10
Views
3K

Hot Threads

Recent Insights

Back
Top