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The normal reaction 'N' for a vehicle of...

The normal reaction 'N' for a vehicle of 800 kg mass, negotiating a turn on a `30^(@)` banked road at maximum possible speed without skidding is _______ `xx 10^(3)" kg m/s"^(2)`.

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A turn of radius 100 m is banked for a speed of 20 m/s (a) Find the banking angle (b) If a vehicle of mass 500 kg negotiates the curve find the force of friction on it if its speed is – (i) 30 m/s (ii) 10 m/s Assume that friction is sufficient to prevent skidding and slipping. [Take "tan" 22^(@) = 0.4 , "sin" 22^(@) = 0.375 , "cos" 22^(@) = 0.93 , g = 10 ms^(-2) ]

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Knowledge Check

  • The coefficient of friction between the tyres and the road is 0.25. The maximum speed with which a car can be driven round a curve of radius 40 m without skidding is (assume g = 10 ms^(-2) )

    A
    `40 ms^(-1)`
    B
    `20ms^(-1)`
    C
    `15 ms^(-1)`
    D
    `10 ms^(-1)`

  • The coefficient of friction between the tyres and the road is 0.25. The maximum speed with which a car can be driven round a curve of radius 40 m without skidding is (Take g = 10 ms^(-2) )

    A
    `40 ms^(-1)`
    B
    `20 ms^(-1)`
    C
    `15 ms^(-1)`
    D
    `10 ms^(-1)`

  • The coefficient of friction between the tyres and the road is 0.1. The maximum speed with which a cyclist can take a circular turn of radius 3 m without skidding is ("Take g"=10ms^(-2))

    A
    `sqrt15 "ms"^(-1)`
    B
    `sqrt3 "ms"^(-1)`
    C
    `sqrt30 "ms"^(-1)`
    D
    `sqrt10 "ms"^(-1)`

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    A turn of radius 600 m is banked for a vehicle of mass 200 kg going with a speed of 180kmh^(-1) . Determine the banking angle of its path.

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    A vehicle is travelling along concave road then along convex road of same radius of curvatures at uniform speed. If the normal reactions on the vehicle as it crosses the lowest point of concave surface, highest point of concave surface, highest point of convex surface are 1.5 xx 10^(4) N, 3 xx 10^(3) N respectively, then the mass of vehicle is (g = 10 m//s^(-2)) .

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