Question

A truck is taking a curve of radius of 200 m and sees the road sign...

A truck is taking a curve of radius of 200 m and sees the road sign which says on it “12.0 m/sec”. The coefficient
of static friction is 0.3 such that the truck does not slide downwards. Find the angle that this curve has been designed to
be. (Hint: from the expression for speed v, which we got in lecture for banked curves with friction, solve for angle θ)
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Answer #1

In the solution below at first i have shown the derivation of the expression for velocity v and then using the expression i solved for angle θ. If you are familar with the derivation jump directly to the solution.

Derivation of v

Solving for angle θ

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