A motor cyclist wants to drive in horizontal circles on the vertical inner surface of a large cylindrical wooden well of radius 8.0 m, with minimum…

Question

A motor cyclist wants to drive in horizontal circles on the vertical inner surface of a large cylindrical wooden well of radius

8.0 m

, with minimum speed of

5 \sqrt{5} m s^{- 1}

. The minimum value of coefficient of friction between the tyres and the wall of the well must be

(g = 10 m s^{- 2})

MARKS Content Team · Accepted Answer

Correct answer: (B) 0.64. The forces acting on the motor cyclist are, gravitational force=mg, and frictional force=μN=μ(mv^2)/r By balancing forces, ⇒mg=μ(mv^2)/r ⇒g/(v^2r)=μ ⇒μ=10/(55^28) ⇒μ=(10×8)/125 ⇒μ=0.64

Solution

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A motor cyclist wants to drive in horizontal circles on the vertical inner surface of a large cylindrical wooden well of radius 8.0 m, with minimum speed of 55 m s-1. The minimum value of coefficient of friction between the tyres and the wall of the well must beg=10 m s-2

Solution

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