Consider two bicycle riders, A and B. The two riders have equal masses Mrider A = Mrider B and their respective bicycles also have similar frames, Mframe A = Mframe B . Finally, the wheels of the two bicycles have equal masses Mwheel A = Mwheel B and equal radii R wheel A = R wheel B but different mass distributions: the wheels of bike A have most of their masses at the rims, Wheel A, while the wheels of bike B have their masses ‘spread’ evenly over the whole wheel area, Wheel B. The two cyclists travel at the same speed on level ground. They approach a low hill and decide to coast up instead of hard pedalling. At the top of the hill, which of the two bikes will have a larger speed? Assume no friction nor air resistance, and all the wheels roll on the ground without slipping.

Respuesta :

bika B.

because moment of inertia is lower in bike B.

The bycicle with wheels  that have equal mass distribution will have the greater speed.

Moment of Inertial

The concept of moment of inetail and relationship between mass distribution and inertial helps us explain this example properly.

if the mass is far away from the axis of rotation, the tendency of motion is limited, hence moment of inertial is increasd, therefore the bycicle with the mass not uniformly distributed will be difficult to accelerate.

Lear more about moment of inertial here:

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