Find tension with two cables at different angles

AI Thread Summary
A weight of 5000 N is suspended by two cables, with one cable horizontal and the other at a 143° angle. To find the tension in the first cable, the problem requires applying the principles of equilibrium, where the net force is zero due to the object being at rest. The horizontal force from the first cable must equal the horizontal component of the second cable's tension, while the vertical component of the second cable's tension must balance the weight of the object. The discussion emphasizes using trigonometric functions to resolve the forces into horizontal and vertical components. Understanding these relationships is crucial for solving the tension problem effectively.
gmuck
Messages
1
Reaction score
0

Homework Statement



A weight of 5000 N is suspended by two cables. The object is at rest. The first cable is horizontal and the second makes an angle of 143 ° with the first cable. Find the tension of the first cable.


Homework Equations


Erm...I know it's something with sin or cosin.


The Attempt at a Solution


My teacher hasn't given us any equations that have to do with tension, so I am completely and utterly lost. Any help would be greatly appreciated!
It's multiple choice and the possible answers are
4000 N
6640 N
8310 N
3340 N
 
Physics news on Phys.org
if the object is at rest, then accelersation is zero.
if accelaration is zero, then the net force is zero.
 
The tension is just the force exerted by the cables.

Have you made a drawing and applied the three forces working?
 
Indeed, there is some sin or cos involved. As mentioned above, the acceleration is zero. What does this imply about the vertical part of the tension?
 
if you break the problem into a horizontal and a vertical part, the sum of forces should be 0 in each of these.

in the horisontal, the force on cable 1 must be equal to the HORIZONTAL PART of the force of cable 2.

In the vertical the VERTICAL PART of cable 2 must balance gravity.

Agree?
 
Last edited:
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Thread 'Trying to understand the logic behind adding vectors with an angle between them'
My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
Back
Top