A banked curve of radius R
in a new highway is designed so that a car traveling at speed v0
can negotiate the turn safely on glare ice (zero friction). If a car travels too slowly, then it will slip toward the center of the circle. If it travels too fast, it will slip away from the center of the circle. If the coefficient of static friction increases, it becomes possible for a car to stay on the road while traveling at a speed within a range from vmin
to vmax
.
Part A
Derive formula for vmin
as a function of \mu s
, v0
, and R
.
Express your answer in terms of the variables \mu s
, v0
, R
, and appropriate constants.
Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type
vmin
=