A body takes the following path and moves with constant speed. If aA and aB are

Question

A body takes the following path and moves with constant speed. If

a_{A}

and

a_{B}

are the magnitude of its radial acceleration at A and B.

Options:

A . aA=aB

B . aA

C . aA>aB

D . none of these

Answer: Option C
:
C
The radius of curvature is the radius of the osculating circle at that point of the curve.

We can clearly see that

R_{A} < R_{B}

∴ \frac{v^{2}}{R_{A}} > \frac{v^{2}}{R_{B}}

(as v is the speed and is constant)

\Rightarrow a_{A} > a_{B}

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