9) A car drives in a circular path of radius R on a curved track with unknown coefficient of static friction μ, between the tires and the road. The track is banked at an angle from the horizontal. a) Circular motion, banked track, no friction: What speed is just right? The car is going at the exact speed so that it needs zero friction force to keep it from sliding "sideways" (up or down the incline). (It is as if it is frictionless, but the car does not slide up or down the incline.) i) Draw a FBD of the car. ii) Determine the speed of the car. (symbols first, then numbers with = 10° and R = 150 m) b) Circular motion, banked track, with friction: How fast can you go? The driver finds that she can safely increase her speed by 1.5 times the speed you just found. Above this new speed the car starts to slide up the incline. i) Draw a FBD for the car in this situation. ii) Determine the coefficient of static friction (in
9) A car drives in a circular path of radius R on a curved track with unknown coefficient of static friction μ, between the tires and the road. The track is banked at an angle from the horizontal. a) Circular motion, banked track, no friction: What speed is just right? The car is going at the exact speed so that it needs zero friction force to keep it from sliding "sideways" (up or down the incline). (It is as if it is frictionless, but the car does not slide up or down the incline.) i) Draw a FBD of the car. ii) Determine the speed of the car. (symbols first, then numbers with = 10° and R = 150 m) b) Circular motion, banked track, with friction: How fast can you go? The driver finds that she can safely increase her speed by 1.5 times the speed you just found. Above this new speed the car starts to slide up the incline. i) Draw a FBD for the car in this situation. ii) Determine the coefficient of static friction (in
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A and b please
Transcribed Image Text:9) A car drives in a circular path of radius R on a curved track with unknown coefficient of static friction
H, between the tires and the road. The track is banked at an angle from the horizontal.
a) (i)
a) Circular motion, banked track, no friction: What speed is just right? The car is going at the
exact speed so that it needs zero friction force to keep it from sliding "sideways" (up or down the
incline). (It is as if it is frictionless, but the car does not slide up or down the incline.)
i) Draw a FBD of the car.
V = V
N ma
ii) Determine the speed of the car. (symbols first, then numbers with = 10° and R = 150 m)
b) Circular motion, banked track, with friction: How fast can you go? The driver finds that she
can safely increase her speed by 1.5 times the speed you just found. Above this new speed the car
starts to slide up the incline.
Coo
i) Draw a FBD for the car in this situation.
ii) Determine the coefficient of static friction (in symbols first, then plug in values).
mg
velocity directed out
of the page, toward us
Rising
R
NSing=m² Y NOSO
R
Ncos@=mg
(11) F-²
net
f=MN
T+Fg=ma²
MEN
Rmasine
Rcose
v=√tan omg
X
Nsine
5 INCOES NO
sine
√²
Ncose g
Tan@= √²
=
29
V=√√Rg tane
V=√150(9.8) tanlo
v=16.1 m/s
mv
R
mg
(i) v₂=24, 1 m/s f=MN
Noose
XNSMO
tk
mg
N
-fsing-mg
•|-
+
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