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).
Expert Solution
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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