Recent content by thomas91

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    Solving a Cycloid Equation: Finding θ(t)

    Thanks for everything Orodruin! Have a nice day :D
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    Solving a Cycloid Equation: Finding θ(t)

    It will be ? Simplified: Thanks!
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    Solving a Cycloid Equation: Finding θ(t)

    Finally! How can I calculate the oscillation period of the bean?
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    Solving a Cycloid Equation: Finding θ(t)

    Then... Recapitulating 2nd condition = > θ' = 0 and t = 0 (rest position) So I obtained B setting θ' (t = 0) = 0; so B = 0 And now, knowing A and B I have the solution for cos(θ/2)
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    Solving a Cycloid Equation: Finding θ(t)

    Then... Is correct? Thanks!
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    Solving a Cycloid Equation: Finding θ(t)

    Sorry but... If I know and I know B = 0. What I need to get?
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    Solving a Cycloid Equation: Finding θ(t)

    Does the rest position mean that the velocity mean that θ' = 0 for t=0? I tried to derivate θ and solve B for t=0 and I obtain B=0...
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    Solving a Cycloid Equation: Finding θ(t)

    Can I set two arbitrary (Between 0 to 2π ) differentes values of θ and solve a equation system for t and B?
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    Solving a Cycloid Equation: Finding θ(t)

    Hello! I can't find the other condition. Can you give me a clue? Thanks
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    Solving a Cycloid Equation: Finding θ(t)

    But ... B is out of the equation because sin (0) = 0 Then B may be any value. Yes? Thanks!
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    Solving a Cycloid Equation: Finding θ(t)

    Hello! I think this: a) Find the solution θ(t) which in the case of a bead at t = 0 falls from rest from the corresponding point θ= π/2 Then: What do you think?
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    Solving a Cycloid Equation: Finding θ(t)

    Edit: The equation is homogeneous. No particular solution. But then we can not replace, I can not find the solution
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    Solving a Cycloid Equation: Finding θ(t)

    Sorry! It was a mistake... The linear equation is: The characteristics polynomial is: With complex roots: The general solution: We need to know the particular solution. True?Thanks!
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    Solving a Cycloid Equation: Finding θ(t)

    Hello! If you do not mind, I prefer to finish the exercise by this method and later solve by the method you suggest Then, the second derivative is: Replacing first and second derivative: And simplifying: Simplifying again: What do you think? Thanks and have a nice sunday
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