A bicycle travels at constant speed up a steep (20 degree) slope. The bike and r

Question

A bicycle travels at constant speed up a steep (20 degree) slope. The bike and rider together have a weight W (981N), and the position of their combined center of mass is indicated in the figure. Calculate the reaction forces acting at front and

rear wheels. Various distances are: d=120 cm, L=240 cm (distance between two contact points A & B), h=150 cm. (h is the distance of the center of mass from the platform)

A bicycle travels at constant speed up a steep (20 degree) slope. The bike and rider together have a weight W (981N), and the position of their combined center of mass is indicated in the figure. Calculate the reaction forces acting at front and rear wheels. Various distances are: d=120 cm, L=240 cm (distance between two contact points A & B), h=150 cm. (h is the distance of the center of mass from the platform)

Explanation / Answer

Wcos20*d = Fb*L+ W*sin20*h.................... 981*cos20*1.2 = (Fb*2.4) + (981*sin20*1.5).................... Fb = 251.21813 N..................... Fa+Fb = W*cos20.......................... Fa = 670.620331N

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