the stability of a motorcycle rider is an important area for study
Added by Daniel K.
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This includes the forces acting on the motorcycle and rider, such as gravity, friction, and centrifugal force during turns. Show more…
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This problem involves investigating the effect of the angular momentum of a bicycle's wheels on the stability of the bicycle and rider. Assume that the center of mass of the bike and rider is height $2 l$ above the ground. Each wheel has mass $m$, radius $l$, and moment of inertia $m l^2$. The bicycle moves with velocity $V$ in a circular path of radius $R$. Show that it leans through an angle given by $$ \tan \phi=\frac{V^2}{R g}\left(1+\frac{m}{M}\right), $$ where $M$ is the total mass. The last term in parentheses would be absent if angular momentum were neglected. Do you think that it is important? How important is it for a bike without a rider?
Explain the effect of the gyroscopic torque produced on the bike. A motorcycle and rider have a combined mass of 360kg. The wheels each have a mass of 20kg, diameter 470mm and radius of gyration of 200mm. The rider accelerates from 5m/s to 25m/s over a distance of 100m, whilst climbing a hill of slope 1 in 20. The average resistance to motion, including drag, is 120N. At another point in its journey, the motorcycle and rider travel at 90km/h around a left-hand bend of radius 41m
Roee S.
explain the concept of conservation of energy using the example of a motorcycle. A motorcycle and rider have a combined mass of 360kg. The wheels each have a mass of 20kg, diameter 470mm and radius of gyration of 200mm. The rider accelerates from 5m/s to 25m/s over a distance of 100m, whilst climbing a hill of slope 1 in 20. The average resistance to motion, including drag, is 120N.
Supratim P.
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