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A car goes on a horizontal circular road...

A car goes on a horizontal circular road of radius R. The speed of car is increasing at constant rate a m/`s^2`. If the friction coefficient between the road and the tyre is `mu`, then the limiting speed of car is

A

`[(mu^2g^2-a^2)R^2]^(1/4)`

B

`[(mu^2g^2+a^2)R^2]^(1/4)`

C

`sqrt (mu g R)`

D

`sqrt (a R)`

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Knowledge Check

  • A car starts moving from rest on a horizontal circular road of radius of curvature R at . The speed of the car is increasing at a constant rate a. The coefficient of friction between the road and the tyres of the car is The car starts slipping at time t = t_(0) . Then t_(0) is equal to:

    A
    `(.^(4)sqrt(mu^(2) g^(2) R^(2)))/(a)`
    B
    `(.^(4)sqrt(R^(2) (mu^(2) g^(2) - a^(2))))/(a)`
    C
    `(.^(4)sqrt(R^(2) (a^(2) - mu^(2) g^(2))))/(a)`
    D
    `(.^(4)sqrt(R^(2) (mu^(2) g^(2) + a^(2))))/(a)`

  • A car moves along a horizontal circular road of radius r with constant speed v. The coefficient of friction between the wheels and the road is mu . Which of the following statement is not true ?

    A
    The car slips if `v gt sqrt(mu rg)`
    B
    The car slips if `mu lt (v^(2)//rg)`
    C
    The car slips if `mu gt (v^(2)//rg)`
    D
    The car slips at a lower speed if it moves with some tangential acceleration, then if it moves at constant speed

  • 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
    `sqrt(3murg)`
    C
    `sqrt(2murg)`
    D
    `sqrt(murg)`

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