As shown in the figure below, a bicycle wheel is at rest against a curb. If the

Question

As shown in the figure below, a bicycle wheel is at rest against a curb. If the wheel has a radius R, mass M and is at rest against a curb of height

determine the minimum horizontal force

(in terms of M and g) that must be applied to the axle to make the wheel start to rise up over the step.

http://session.masteringphysics.com/problemAsset/1122183/1/Walker.11.94.jpg

As shown in the figure below, a bicycle wheel is at rest against a curb. If the wheel has a radius R, mass M and is at rest against a curb of height h = 0.16R, determine the minimum horizontal force (in terms of M and g) that must be applied to the axle to make the wheel start to rise up over the step.

Explanation / Answer

h = 3R/4

r^2 = R^2 - (R-h)^2

r^2 = R^2 - R^2/16

r = R*sqrt(15/16)


F*(R-h) = M*g*r

F*(1/4)*R = M*g*R*sqrt(15/16)

F = M*g*sqrt15 = 3.873*M*g

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