obtain an expression for the maximum speed with which a vehicle can negative a curved smooth road banked at an angle thita with proper diagram.
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Answer:The answer is clearly shown in the attachment.
The Diagram is made in 1 dimensional and not in 3-d so to avoid the confusion.
The Mathematical expression is shown in the diagram with the derivation of it. Also, two Important conclusions are shown.
The Maximum velocity is √rgtanθ, where r is the radius of the curved path, g is the acceleration due to gravity.
In this case, Friction is totally neglected. But this can also be taken in the given condition but for Maximum velocity we don't need to assume that.
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