A motorcyclist rides horizontally on the vertical wall of a cylindrical well of radius 5 m at speed 5√5 m/s. Find the minimum friction coefficient. Take g=10 m/s².
Physics · Circular Motion · friction and circular motion
JEE Advanced

Question

A motorcyclist rides horizontally on the vertical wall of a cylindrical well of radius 5 m at speed 5√5 m/s. Find the minimum friction coefficient. Take g=10 m/s².

G1 Physics · Accepted Answer

For horizontal motion on a vertical wall, N=mv²/R and friction supports weight: µN=mg. Hence µ=gR/v²=(10×5)/(5√5)²=50/125=0.4.