A problem on rotational mechanics

[harini_5]

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.

 

[LowlyPion]

Well if a/b = x/y

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

then ... what's the problem?

 

[harini_5]

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...

 

[LowlyPion]

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.