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Safe speed on a curved road: banking and friction

This type of question, asked 3 times: 22 Apr 2025 S2, 23 Apr 2025 S1, 19 May 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    22 Apr 2025 S2

    2
    A car is driven on the banked road of radius of curvature 20 m with maximum safe speed. In order to increase its safety speed by 20%20\%, without changing the angle of banking, the increase in the radius of curvature will be [Assume friction is same on the road]

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  2. Question 2

    23 Apr 2025 S1

    29
    Radius of curved road is ' RR ', width of road is ' bb '. The outer edge of road is raised by ' hh ' with respect to inner edge so that a car with velocity ' VV ' can pass safe over it, then value of ' hh ' is ( g=g = acceleration due to gravity)

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  3. Question 3

    19 May 2026 S1

    105
    On a dry curved (banked) road, with banking angle of zero, the maximum safe speed for a moving vehicle is 'vv'. After heavy rain, the maximum safe speed for the same road was reduced by 60%. The ratio of the coefficient of friction for the dry road to that of the wet road is

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