What are the formulas in this physics document and how can they be decoded?

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    Formula Physics
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The document contains essential formulas related to Mechanics and Thermodynamics. Users are encouraged to reference their lecture notes for additional context on these formulas. If specific formulas are unclear, asking for clarification is recommended. A list of common physics notations may also assist in decoding the formulas. Understanding these concepts is crucial for mastering physics topics.
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Welcome to PF, Kevin! You certainly study Physics. The sheet contains all formulas you learn when studying Mechanics and Thermodynamics. Look after them in your lecture book or notes. And ask the one you can not find.
 
You can also have a look at the list of common physics notations to help you figure out some of the formulas.
 

Thread 'Rolling without slipping on a curved surface'

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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Thread 'Correct statement about a reservoir with an outlet pipe'

Thread 'Correct statement about a reservoir with an outlet pipe'

The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
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Thread 'A bead-mass oscillatory system problem'

Thread 'A bead-mass oscillatory system problem'

I can't figure out how to find the velocity of the particle at 37 degrees. Basically the bead moves with velocity towards right let's call it v1. The particle moves with some velocity v2. In frame of the bead, the particle is performing circular motion. So v of particle wrt bead would be perpendicular to the string. But how would I find the velocity of particle in ground frame? I tried using vectors to figure it out and the angle is coming out to be extremely long. One equation is by work...
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