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Laws Of Motion

Question
CBSEENPH11017001

The convex over bridge has radius of curvature r. Find the thrust on the bridge at highest point when the car is going over it with speed v.

Solution

Let be the mass of the car.
While crossing the over bridge, the centrifugal force on the car at the highest point is space fraction numerator m v squared over denominator r end fraction. 
Therefore net force exerted by car on the bridge is given by, 
                          m g minus fraction numerator m v squared over denominator r end fraction