Apparent weight of moving car over a convex or concave bridge

Apparent weight of a moving car over a convex or concave bridge is the amount of Normal Reaction the car receives while traveling over the bridge.

Here the system consists of the car, the bridge which is either convex or concave and the motion of the car along the curvature.

So to start off we can write,

Apparent weight of car = N (normal reaction)

In these cases, the centripetal force is to be considered because the car is moving along a circular path while traveling through the concave or convex curvature,

Apparent weight of moving car over a convex bridge

Let’s consider the motion of the motor car over a convex bridge, along the segment of a circle (i.e. the circular curvature).

Say, the car is just at the midpoint of that circular segment.

As the path of the car at that point is a part of a circle, we can say that the car is having a circular motion along that circular curvature.

And we know that to continue along the circular path, without deviating tangentially, we need a force called centripetal force.

Centripetal force directs towards the center of the circular path.

For the convex bridge, the centripetal force is provided by the difference of [ Read More: Convex bridge, apparent weight & centripetal force ]

Convex bridge — car is tilted

Now if the car is in a position…[ Read More: Convex bridge, car, apparent weight & centripetal force ]

Apparent weight of moving car over a Concave bridge

Let’s consider the motion of the motor car over a concave bridge, along the segment of a circle (i.e. the circular curvature). Say, the car is just at the midpoint of that circular segment.

Like the above case, here also centripetal force acts on the car to retain it along the circular path. But unlike the above case, this time the center of the circular path is above the bridge.

For the concave bridge, the centripetal force is provided by the difference of [ Read More: Concave bridge, apparent weight & centripetal force ]

Concave bridge — car is tilted

Now if the car is in a position like the[ Read More: Concave bridge,car, apparent weight & centripetal force ]

Read more related posts

[ Read More: Convex bridge, apparent weight & centripetal force ]

Originally published at https://physicsteacher.in on July 31, 2019.

NIT Grad & IT prof. Writes and teaches HS physics. A motivational speaker and an active blogger with multiple niches. With lots of stories to tell.

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