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A car moves along a horizontal circular ...

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

Text Solution

Verified by Experts

The correct Answer is:
c
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Knowledge Check

  • A body moves on a horizontal circular road of radius r , with a tangential acceleration a_(t) . The coefficient of friction between the body and the road surface Is mu . It begins to slip when its speed is v . (i) v^(2)=murg (ii) mug=(v^(4)/(r^92))+a_(t)) (iii) mu^(2)g^(2)=(v^(4)/(r^(2)+a_(t)^(2)) (iv) The force of friction makes an angle tan^(-1)(v^(2)//a_(t)r) with the direction of motion at the point of slipping.

    A
    `(i),(ii)`
    B
    `(ii),(iii)`
    C
    `(i),(iv)`
    D
    `(iii),(iv)`

  • A car is moving on a horizontal circular tracck of radius 0*2 km with a constant speed. If coefficient of friction between tyres of car and road is 0*45 , then speed of a car may be [ Take g = 10 m/s^(2)]

    A
    15 m/s
    B
    30 m/s
    C
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    D
    40m/s

  • 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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