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A car of mass m moving over a convex bri...

A car of mass `m` moving over a convex bridge of radius `r` .Find the normal reaction acting on car when it is at bighest point the bridge.

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The motion of the motor car over a convex bridge `AB` is the motion along the segment of a circle `AB` (Fig ) .The centripetal force is proveded by the difference of weight `mg` of the car and the normal reaction `R` of the bridge

`:. mg - R = (mv^(2))/(r )`
or `R = mg - (mv^(2))/(r )`
Clearly `R lt mg` i,e the weight of moving car is less than the weight of the statinary car
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