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A modern gran -prix racing car of masses...

A modern gran -prix racing car of masses m is travelling on a flat track in a circular arc of radius R with a speed `v`. If the coefficient of static friction between the tyres and the track is `mu_(s)`, then the magnitude of negative lift `F_(L)` acting downwards on the car is `:` ( Assume forces on the four tyres are identical and g = acceleration due to gravity )

A

`m ((v^(2))/( mu_(S) R ) -g)`

B

`m ((v^(2))/( mu_(S) R ) +g)`

C

`m ( g - ( v^(2))/( mu _(S) R))`

D

`-m ( g + ( v^(2))/( mu _(S) R))`

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Knowledge Check

  • A car is taking turn on a circular path of radius R. If the coefficient of friction between the tyres and road is mu , the maximum velocity for no slipping is

    A
    `muRg`
    B
    `2muRg`
    C
    `(muRg)^(1//2)`
    D
    `(2muRg)^(1//2)`

  • A car is moving along a straight horizontal road with a speed v_(0) . If the coefficient of friction between the tyres and the road is mu , the shortest distance in which the car can be stopped is

    A
    `(v_(0)^(2))/(2mug)`
    B
    `(v_(0))/(mug)`
    C
    `((v_(0))/(mug))^(2)`
    D
    `(v_(0))/(mu)`

  • A car is travelling along a curved road of radius r. If the coefficient of friction between the tyres and the road is mu the car will skid if its speed exceeds .

    A
    `2sqrt(murg)`
    B
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    C
    `sqrt(2murg)`
    D
    `sqrt(murg)`

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