FBD for Newton's Law of Motion Problem

AI Thread Summary
The discussion revolves around a physics problem involving two connected blocks experiencing a force and friction. The user is trying to determine the tension in the string connecting the blocks, starting with a free body diagram (FBD). There is a request for guidance on whether the FBD is correct, and a suggestion to incorporate equations into the analysis. The user expresses a preference for using FBDs before moving to equations, indicating a desire for step-by-step assistance. The conversation emphasizes the importance of both visual representation and mathematical formulation in solving the problem.
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Homework Statement


In the figure, block 1 of mass m1 = 1.8 kg and block 2 of mass m2 = 1.4 kg are connected by a string of negligible mass. Block 2 is pushed by force Upper F Overscript right-arrow EndScripts of magnitude 18 N and angle θ = 34°. The coefficient of kinetic friction between each block and the horizontal surface is 0.16. What is the tension in the string?

Homework Equations


FBD

The Attempt at a Solution


0w4RNPn.png

This is my FBD(Is this right?)

I want to do it step by step..
my first thoughts it will be
T1-f=0 -> T1=f (block m1) but I don't know if this right can someone guide me to this question

Thank you and God bless!
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Why don't you start with the equations. I prefer doing physics with actual math.
 
So far so good...sine and cosine for the right!
 
Isaac0427 said:
Why don't you start with the equations. I prefer doing physics with actual math.

Okayyy but I got used to using FBD then proceed to do equations. But my problem is I don't know if my FBD is right
 
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 .
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