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Two banks, A and B of a canal of width d = 10m are connected by a bridge whose longitudinal section is a parabolic arc. Which is symmetric with respect to A and B. The highest point (P) of the path is = 2.5m above the level of the banks. A car with mass M = 1000kg traverses the bridge at a constant speed of $V = 5 \sqrt{2} m / s$ . Origin of coordinate system is at ‘A’. $[g = 10 m / s^{2}]$ .

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Equation of the parabolic track is $y = x - \frac{x^{2}}{10}$

Radius of curvature of the track on the bridge at its highest point P is R = 1m

Radius of curvature of the track on the bridge at its highest point P is R = 5m

Normal contact force exerted by the car on the track at P is zero.

answer is A, C, D.

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Detailed Solution

Normal is zero when there is weightlessness.

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