Q.

A cyclist on a level road takes a sharp circular turn  of radius 3m (g=10ms-2). If the coefficient of static friction between the cycle tyres and the road is 0.2,  at which of the following speeds will the cyclist not skid while taking the turn ?

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Detailed Solution

Vmax  =  μgr  =  0.2  ×  10  ×  3  =   6  m/s  =  2.45  m/sVmax  = 8.8   km/hr∴  With 7.2 km h-1 the cyclist will not skid.
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A cyclist on a level road takes a sharp circular turn  of radius 3m (g=10ms-2). If the coefficient of static friction between the cycle tyres and the road is 0.2,  at which of the following speeds will the cyclist not skid while taking the turn ?