What is the tension force of each cable?

AI Thread Summary
The discussion centers on calculating the tension force in cables supporting a 100N street light, with each cable experiencing a force of 50N due to their equal angles. The equilibrium system simplifies the calculation, allowing the use of trigonometric functions to determine tension. Additionally, when comparing two masses on inclined planes, the mass of 30kg at 30 degrees will hit the ground first due to its steeper angle, which provides greater acceleration. A question about the horizontal distance a pendulum travels when raised 1cm from its lowest point emphasizes that the distance is related to the pendulum's length rather than its mass. Overall, the thread highlights fundamental physics principles in equilibrium and motion.
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Hello everyone. First I would just like to say how thankful I am that there is a forum for physics out here. Also I would like to prematurely thank anyone who is going to help me, it is greatly appreciated.

Well I am in ap physics in high school, so this stuff should be cake for you guys.
So I created a quick drawing of the picture, please excuse it, it was a little rushed. But there is a 100N street light hanging from two cables of equal length (in picture) The cables create a 37 degree angle with the top horizontal line. --What is the tension force of each cable?

Could someone please explain to me how you find this, and does it make it easier because (or is it) an equalibrium system?

My second qestion is if you have a 30kg mass on an inclined plane that is 30 degrees to the horizontal, and a 50kg mass that is 60 degrees to the horizontal. Both masses are released at the same time, which hits the ground first?

And I have one final question (if I haven't bugged you enough). If I have a mass tied to a string (pendulum) and it is at the bottom of its swing, how far will it have traveled if the mass is 1cm above the bottom of its swing, if the pendulum mass is .2kg?

Again thank you so so much, and I appreciate any and all help
Chris
 

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Answer 1.

You have to balence the 100N down with 100N up. Becouse there are 2 cabels and they have the same angel each of the cabels takes half of the 100N that's 50N. You can easily calculat the tension force of each cable with this equation
sin37=50N/tension force
tension force=50N/sin37

See the ateched file.
 

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Answer 2.

The second one its the ground first becouse of the angle (it has a larger acceleration towerds the ground). Mass is of no importance.

Could you please be a bit more exact with your last question.
 
Thanks Lenin.
Sorry about the vagueness of the last problem. let me retype it. A pendulum with a mass of .2kg is at the bottom of its swing. what horizontal distance will it travel when the pendulum bob is 1cm above (vertically) its bottom most position.

hopefully that is a little better.
Thanks
Chris
 
Thanks for your explination. As I see it the distance the pendulum travels is conected to its langht and not its mass. A long pendulum would travel further then a short one.
 

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