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 h = 0.12R, determine the minimum horizontal force F (in terms of M and g) that must be applied to the axle to make the wheel start to rise up over the step.

F = _________________

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 = 0.12R, determine the minimum horizontal force F (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

Here

F*(R-h) = Mg*sqrt(R^2 - (R-h)^2)

F*(R - 0.12R) = Mg*sqrt(R^2 - (R-0.12R)^2)

F*0.88R = Mg*0.47497R

Therefore

F = 0.5397Mg

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