A cyclist (mass 80 kg including bike) is going 6.7 m/s is taking a 10m radius tu

Question

A cyclist (mass 80 kg including bike) is going 6.7 m/s is taking a 10m radius turn on an unbanked road.

(a) What frictional force is necessary for him to make the turn?

(b) What minimum coefficent of friction is required?

(c) Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen in Figure 6.36. To be stable, the force exerted by the ground must be on a line going through the center of gravity. The force on the bicycle wheel can be resolved into two perpendicular components—friction parallel to the road (this must supply the centripetal force), and the vertical normal force (which must equal the system’s weight ). Find the angle that the bike must be leaned to be stable in this turn.

Explanation / Answer

a)

frictional force provides required centrepital force

friction = mv^2/R

friction = 359.12 N

b)

mv^/R = umg = 359.12

u = 0.458

c)

figure not available ??

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