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    Reaction Of Road On Car MCQ - Practice Questions with Answers

    Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

    Quick Facts

    • 4 Questions around this concept.

    Solve by difficulty

    A car is going on a convex bridge with a radius R. The driver maintains a constant speed , as the car ascends on the bridge, the normal force on it:

     

    A car moves on a concave bridge of radius R, then the maximum reaction force on the car will be:

    [let the mass of the car be m]

     

    A car of mass m is moving on a concave bridge of radius r with velocity v as shown in the diagram for what value of the reaction on the car by the bridge will be maximum. 

    Where $\theta$ is the angle made by a vertical line 

    A car is moving on convex bridge of radius r with velocity v for what maximum value of v, car will loose contact with bridge

    Concepts Covered - 1

    Reaction of Road on Car

     

    1. When a bridge is concave

             

    $\begin{aligned} & \text { Centripetal force }=R-m g \cos \theta=\frac{m v^2}{r} \\ & \text { Reaction } \mathrm{R}=m g \cos \theta+\frac{m v^2}{r}\end{aligned}$

     

    R = reaction

    V=velocity

    r = radius

     

    1. When the bridge is convex

            

    $\begin{aligned} & F_c=m g \cos \theta-R=\frac{m v^2}{r} \\ & R=m g \cos \theta-\frac{m v^2}{r} \\ & \mathrm{R}=\text { reaction } \\ & \mathrm{F}_{\mathrm{c}}=\text { centripetal force } \\ & \mathrm{mg}=\text { weight } \\ & \theta=\text { angle of } \mathrm{R} \text { with vertical }\end{aligned}$

    V = tangential velocity

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    Reaction of Road on Car

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