1. The problem statement, all variables and given/known data
A car rounds a banked curve as discussed in Example 6.4 and shown in Figure 6.5.The radius of curvature of the road is R,the banking angle is θ,and the coefficient of static friction is μs.
Determine the range of speeds the car can have without slipping up or down the road.
2. Relevant equations
3. The attempt at a solution
I've just drawn two free-body diagram representing the situation that the centripetal acceleration is large that the car tends to sliding up and the opposite situation.
But I don't know how to find the range.
A car rounds a banked curve as discussed in Example 6.4 and shown in Figure 6.5.The radius of curvature of the road is R,the banking angle is θ,and the coefficient of static friction is μs.
Determine the range of speeds the car can have without slipping up or down the road.
2. Relevant equations
3. The attempt at a solution
I've just drawn two free-body diagram representing the situation that the centripetal acceleration is large that the car tends to sliding up and the opposite situation.
But I don't know how to find the range.
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