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A problem on rotational mechanics

  1. Jul 8, 2009 #1
    Hi,
    I'm actually working on a problem in Rotational mechanics.
    I'll just hint the problem.
    In a rotating body,tangential acc=(radius)angular acceleration.
    velocity=(radius)angular velocity.thus,
    [tangential acc/angular acceleration]
    =[velocity/angular velocity]
    can we use the theorems of ratio and proportions studied in algebra so as to write,
    [tangential acc+angular acceleration]/[tangential acc-angular acceleration]
    =[velocity+angular velocity]/[velocity-angular velocity]

    this was a q asked in my exam.
    still I have no idea whether my answer,Yes.we shall write is correct or wrong
    if u feel the answer is no plz justify.even if u feel yes,plz give me an explanation.
    thanks in advance.
     
  2. jcsd
  3. Jul 8, 2009 #2

    LowlyPion

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    Well if a/b = x/y

    and (a + x) / (a - x) = (b + y) / (b - y)

    then ... what's the problem?
     
  4. Jul 8, 2009 #3
    is this possible with vectors also.
    my teacher is no ordinary.the probs he would give us would look ordinary,but the concept they reveal would be extra-ordinary............
     
  5. Jul 8, 2009 #4

    LowlyPion

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    I hadn't thought to consider it as vectors, but as vectors they are orthogonal and hence are sides of a right triangle. Since you are comparing similar resultants, their magnitudes conform with the relationship anyway.
     
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