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an automobile is driven on a banked (angle of 10 degrees with respect to the horizontal...

an automobile is driven on a banked (angle of 10 degrees with respect to the horizontal )circular track having a radius of 1.6*10^2 m . determine the speed of the automobile if it is to have tendency to slide sidways (either up or down the bank ). the coefficent of friction is 0.33 . include a free body diagram.

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Answer #1

Here , r = 1.6 * 102 m,

The forces acting on the car are

1. Weight mg acting vertically downwards.

2. Normal reaction R acting at an angle with the vertical.

3. Force of friction f acting downwards along the inclined plane.

Using equilibrium along Y axis

Using equilibrium along X axis

Dividing equation two by equation 1

Taking R.Cos common

We know that

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