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Friction and Vertical Circular Motion Problems

An army vehic...

Question

An army vehicle is travelling at uniform speed along convex road then along concave road of same radius of curvature and finally along horizontal road. $R_{1}, R_{2}$ and $R_{3}$ are normal reactions on the vehicle while crossing highest point of convex road, lowest point of concave road and horizontal road respectively. Which of the following relation is true?

R_{1} < R_{2} < R_{3}

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R_{1} > R_{2} > R_{3}

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R_{2} > R_{3} > R_{1}

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R_{2} = \frac{R_{1} + R_{3}}{2}

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Solution

The correct option is D $R_{2} > R_{3} > R_{1}$
At A:
$R_{1} = m g - \frac{m V^{2}}{R}$
At B:
$R_{2} = m g + \frac{m V^{2}}{R}$
At C:
$R_{3} = m g$

$∴ R_{2} > R_{3} > R_{1}$

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Similar questions

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