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A cyclist speeding at 18 km/h on a level...

A cyclist speeding at 18 km/h on a level rod takes a sharp circular turn of radius 3 m without reducing the speed and without spending towards the centre of the circular path. The coefficient of static friction between the tyres and the road is 0.1. Will the cyclist slip while taking the turn?

Text Solution

Verified by Experts

The maximum safe speed is given by,
`v_("max") = sqrt( mu r g) = sqrt(0.1 xx 3 xx 9.8) = 1.715` m/s
Actual speed of the cyclist,
v = 18 km/h = `(18 xx 1000)/(60 xx 60) `m/s = 5 m/s
Since the actual speed is greater than the maximum safe speed, the cyclist will slip while taking the turn.
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