Question

A vehicle ia crossing a vertical convex bridge. The force exerted by vehicle
on mid-point of the bridge with convex curvature (moving at constant
speed) will be​

Answer 1

HELLO DEAR,

ANSWER:-

The force exerted by the vehicle at the middle part of convex bridge is equal to the mass of the vehicle to the product of the acceleration due to gravity.

F = mg

F is the net force acting downward at the mid point of the convex bridge due to vehicle .

THANKS.

Answer 2

Given:

A vehicle is crossing a vertical convex bridge.

To find:

Force exerted by vehicle in the middle of the bridge ?

Calculation:

Let's assume that the vehicle is crossing the bridge with uniform velocity "v" and radius of bridge is "r". Now, when it's passing through the midpoint, it is exerting two forces :

• It's weight (mg)

• Centripetal Force (mv²/r)

So, in the midpoint, the weight is responsible for the centripetal component . So, weight and centripetal force should be equal.

$\boxed{ \sf \therefore \: F_{net} = mg = \dfrac{m {v}^{2} }{r} }$