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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.

A

`mg- (mv^(2))/(r )`

B

`mg +(mv^(2))/(r )`

C

`mg xx (mv^(2))/(r )`

D

`(v^(2)g)/(r )`

Text Solution

Verified by Experts

The correct Answer is:
A

when the car crosses the hightest point of the convex bridge , the forces acting on the car are
(1) C.F force `(mv^(2))/(r ) ` acting upwards and
(2) Weight (mg ) acting downwards.
IF ` ( mv^(2))/(r ) gt ` mg , the car will lose its contact with the bridge since the car is crossing the bridge , without losing the contact `, mg gt ( mv^(2))/(r ) `
` therefore ` The throust on the bridge will be
= Resultant downward force `=mg -(mv^(2))/(r )`
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