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Question: A car is moving on a circular path and takes a turn. If \(R_{1}\) and \(R_{2}\) be the reactions on ...

A car is moving on a circular path and takes a turn. If R1R_{1} and R2R_{2} be the reactions on the inner and outer wheels respectively, then

A

R1=R2R_{1} = R_{2}

B

R1<6muR2R_{1} ⥂ < \mspace{6mu} R_{2}

C

R1>6muR2R_{1} ⥂ > \mspace{6mu} R_{2}

D

R16mu6muR2R_{1}\mspace{6mu} \geq \mspace{6mu} R_{2}

Answer

R1<6muR2R_{1} ⥂ < \mspace{6mu} R_{2}

Explanation

Solution

Reaction on inner wheel R1=M2[gv2hra]R_{1} = \frac{M}{2}\left\lbrack g - \frac{v^{2}h}{ra} \right\rbrack and Reaction on outer wheel R2=M2[g+v2hra]R_{2} = \frac{M}{2}\left\lbrack g + \frac{v^{2}h}{ra} \right\rbrack

R1<R2R_{1} < R_{2}.