Calculating Tension in Cables for 17.0 kg Speaker

  • Thread starter Thread starter kappcity06
  • Start date Start date
  • Tags Tags
    Tension
AI Thread Summary
To calculate the tension in the cables supporting a 17.0 kg speaker, one must consider the forces acting on the system. The tension forces in the cables can be resolved into horizontal and vertical components, where the horizontal components cancel each other out. The sum of the vertical components must equal the weight of the speaker (mg). The relationship between the angles formed by the cables and the ceiling is crucial, as the angle between the tension vectors is twice the angle theta. Understanding these components allows for the correct calculation of tension in each cable.
kappcity06
Messages
90
Reaction score
0
A loudspeaker of mass 17.0 kg is suspended a distance of h = 1.80 m below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of l = 3.30 m.

What is the tension in each of the cables?

Tried mg sintheta^2+mgcostheat^2=c^2 but no dice.

Anyone know anything?

thanks
 
Physics news on Phys.org
The tension forces point along the wires. Call their magnitude T and split them into horizontal and vertical components. The horizontal components cancel and the sum of the vertical components should cancel the mg force on the speaker.
 
The two (similar in magnitude tensions) and the weight form a triangle. If theta is the angle between the cables and the ceiling then the angle between the two tension vectors in the triangle is two times theta.
 

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 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is（Figure 2）： F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
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

Time it Takes for a Transverse Pulse to Travel a Distance "L" Up a Cable Against Gravity?
Replies
13
Views
1K
Problem involving space elevators
Replies
19
Views
2K
Finding the tension of two cables holding an object at rest
Replies
7
Views
2K
What is the tension in the lift cable and in the string?
Replies
19
Views
3K
How Do You Calculate the Tension in a Rope Holding a Chandelier?
Replies
8
Views
1K
Tension and net torque in a cable
Replies
10
Views
5K
Height of a stable droplet on a perfectly wetting surface
2
Replies
63
Views
4K
How do I calculate the tension in cable 1 without using the tension in cable 2?
Replies
2
Views
5K
What is the Tension in Each Cable Supporting the Lamp?
Replies
6
Views
10K
What Are the Tensions in Each Cable of a Suspension Bridge?
Replies
31
Views
4K

Hot Threads

Recent Insights

Back
Top