Can ratio and proportion rules apply to tangential and angular quantities?

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harini_5
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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 please justify.even if u feel yes,please give me an explanation.
thanks in advance.
 

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Well if a/b = x/y

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

then ... what's the problem?
 
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...
 
harini_5 said:
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...

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.