A car of mass m travels along the cloverleaf interchange. The position of the car is given by where b = 240 m, and t0 = 12 s is the time of travel between O and A. Determine the smallest coefficient of friction between the tires and the road that would prevent the car from skidding at A (note that t = t0 when the car is at A)
A car of mass m travels along the cloverleaf interchange. The position of the car is given by where b = 240 m, and t0 = 12 s is the time of travel between O and A. Determine the smallest coefficient of friction between the tires and the road that would prevent the car from skidding at A (note that t = t0 when the car is at A)
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Question
A car of mass m travels along the cloverleaf interchange. The position of
the car is given by
where b = 240 m, and t0 = 12 s is the time of travel between O and A. Determine
the smallest coefficient of friction between the tires and the road that would
prevent the car from skidding at A (note that t = t0 when the car is at A).
![b
3nt
b
cos
4to
3nt
X=
2
sin + sin
- +
y=
cos
4to
4to
4to](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4082bea-7e84-4342-a11b-06d15f2251a0%2F21b06687-8bd4-4596-b0e5-f8ff85440882%2Fk9fuzd_processed.png&w=3840&q=75)
Transcribed Image Text:b
3nt
b
cos
4to
3nt
X=
2
sin + sin
- +
y=
cos
4to
4to
4to
![---
45°](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4082bea-7e84-4342-a11b-06d15f2251a0%2F21b06687-8bd4-4596-b0e5-f8ff85440882%2F9krh7a5_processed.png&w=3840&q=75)
Transcribed Image Text:---
45°
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Analyze the FBD of the car at position A given as follows:
Here, W, f, N, and FC are the car’s weight, friction, normal reaction, and centripetal force, respectively.
The car moves in the plane perpendicular to the page.
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