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A vehicle is travelling with uniform speed along concave road and then along convex road of same radius of curvature. If the normal reaction on the vehicle is half of its weight as it reaches highest point of convex road, then normal reaction on the vehicle as it reaches lowest point of concave road is:

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Solution

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mg−N2=mV2R−(1)

In case of concave

N1−mg=mV2R−(2)

Given N2=mg2

∴In−(1),mg2=mV2R

put it in - (2)

N1−mg=mg2

N1=32mg

Given N2=mg2

∴In−(1),mg2=mV2R

put it in - (2)

N1−mg=mg2

N1=32mg

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