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Q.40

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

A concrete highway curve of radius is banked at a angle. What is the maximum speed with which a rubber tired car can take this curve without sliding?

The maximum sped the car can move without sliding is .

See the step by step solution

Step by Step Solution

Step 1: Given Information

A concrete highway curve of radius is banked at a angle.

Step 2: Explanation

We need to draw a graph for analyze the situation.

From the graph we can obtain the expression for the horizontal direction;

Where,

: The maximum force required

: Normal force

: Radius of the curve

: mass of the car

: Banking angle

Frictional force

Therefore,

................(a)

Step 3: Expression for vertical force

Expression for vertical force:

.................(b)

Dividing expression (a) by expression (b), we get

Step 4: Final Answer

Therefore, the maximum speed the care can move without sliding is .

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