Physics Two Dimensional Motion Question 272

Question: A car is moving on a circular path and takes a turn. If $ R _{1} $ and $ R _{2} $ be the reactions on the inner and outer wheels respectively, then

[MH CET (Med.) 2001]

Options:

A) $ R _{1}=R _{2} $ B) $ R _{1}<R _{2} $ C) $ R _{1}>R _{2} $ D)$ R _{1}\ge R _{2} $

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Answer:

Correct Answer: B

Solution:

Reaction on inner wheel$ R _{1}=\frac{1}{2}M[ g-\frac{v^{2}h}{ra} ] $ Reaction on outer wheel $ R _{2}=\frac{1}{2}M[ g+\frac{v^{2}h}{ra} ] $ where, r = radius of circular path, 2a = distance between two wheels and h = height of centre of gravity of car.