Newton's Laws Homework question: Double incline mass problem

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SUMMARY

The discussion centers on solving a double incline mass problem using Newton's Laws, specifically Newton's 2nd Law. The problem involves two masses connected by a massless string, with angles Φ=43° and θ=20°, and mass_A=1.00kg. The user attempts to express the forces acting on the masses through equations involving tension, but struggles with formatting and clarity in their equations. The community advises focusing on one block at a time and clarifying the forces involved.

PREREQUISITES
  • Understanding of Newton's 2nd Law of Motion
  • Basic knowledge of vector addition in physics
  • Familiarity with LaTeX for formatting equations
  • Concept of free body diagrams (FBD)
NEXT STEPS
  • Review the principles of free body diagrams (FBD) for better visualization of forces
  • Practice writing and solving equations using Newton's 2nd Law
  • Learn to format equations correctly in LaTeX for clarity
  • Explore tension in strings and its applications in physics problems
USEFUL FOR

Students studying physics, particularly those tackling problems involving Newton's Laws, free body diagrams, and vector analysis. This discussion is also beneficial for anyone seeking to improve their equation formatting skills in LaTeX.

NotSoRobot
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Homework Statement


I have a double incline mass problem where Φ=43° and θ=20°, mass_A=1.00kg and they are connected by a massless string where the net force of each block is equal to 0.

Homework Equations


I believe I am to use Newton's 2nd law to find the force of the tension which I have next to my FBD. Since they were both 0 I set them equal to each other as you can see the arrows are directing in the photo, but I'm kind of lead nowhere. :/ I'll post the photo in 3.

My equations are:
$$\vec {T}_1 = m_A g + \hline \vec {T}_1 \cos {\phi}$$
and
$$\vec{T}_2=m_Ag+\hline \vec{T}_2\cos{\theta}$$
which I set equal to each other. I think this is how I would describe ##\vec{T}_1## and ##\vec{T}_2## with vector addition.

The Attempt at a Solution


https://livecsupomona-my.sharepoint.com/:i:/r/personal/dlsanjenis_cpp_edu/Documents/Attachments/52588613_813119429043085_4437430197272182784_n.jpg?csf=1&e=Ihd80l
[/B]
 

Attachments

  • 52606089_2336512989715836_7032607878858932224_n.jpg
    52606089_2336512989715836_7032607878858932224_n.jpg
    15.3 KB · Views: 391
  • massB.png
    massB.png
    4.7 KB · Views: 436
Last edited:
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Your first two images are behind some login barrier. Please upload them directly to the forum using the tools in the toolbar.

The image of your working is sideways-on and hard to read. The bits of equations I could decipher made no sense to me.
Start with one block. What are the forces acting on it? What equations can you write?
Please type in your answers. Images are for textbook extracts and diagrams.
 
haruspex said:
Your first two images are behind some login barrier. Please upload them directly to the forum using the tools in the toolbar.
I'm not sure how to put them directly into the forum. I need a link, perhaps I could see if I could make this particular line public.

Edit: I guess i just figured it out, I will improve the equations now.

2ndEdit: I'm not sure how to fix my forumlas. I used the correct delimiters, but there is something else I'm not catching.
 

Attachments

  • massB.png
    massB.png
    4.7 KB · Views: 417
Last edited:
NotSoRobot said:
I'm not sure how to put them directly into the forum. I need a link, perhaps I could see if I could make this particular line public.

Edit: I guess i just figured it out, I will improve the equations now.

2ndEdit: I'm not sure how to fix my forumlas. I used the correct delimiters, but there is something else I'm not catching.
I assumed you would be posting new equations. Are you still working on this?
You mention delimiters. Are you struggling with LaTeX?
 
Last edited:
NotSoRobot said:

Homework Statement


I have a double incline mass problem where Φ=43° and θ=20°, mass_A=1.00kg and they are connected by a massless string where the net force of each block is equal to 0.

Homework Equations


I believe I am to use Newton's 2nd law to find the force of the tension which I have next to my FBD. Since they were both 0 I set them equal to each other as you can see the arrows are directing in the photo, but I'm kind of lead nowhere. :/ I'll post the photo in 3.

My equations are:
$$\vec {T}_1 = m_A g +\color{red}{\text{ \hline }} \ \ \vec {T}_1 \cos {\phi}$$
and
$$\vec{T}_2=m_Ag+\color{red}{\text{ \hline} }\ \ \vec{T}_2\cos{\theta}$$
which I set equal to each other. I think this is how I would describe ##\vec{T}_1## and ##\vec{T}_2## with vector addition.

The Attempt at a Solution


https://livecsupomona-my.sharepoint.com/:i:/r/personal/dlsanjenis_cpp_edu/Documents/Attachments/52588613_813119429043085_4437430197272182784_n.jpg?csf=1&e=Ihd80l [/B]
Nothing wrong with your LaTeX delimiters. I placed the \hline in a text box &colored it red.

I'm not sure what you were trying to do with the \hline command.

Those equations don't make much sense.
 

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