COMEDK · Physics · 5. Laws of Motion
What is the maximum speed with which a vehicle can take the turn on a curved frictionless smooth road of width 4 m , without skidding, if the radius of the circular curve of the road is 9 m and the outer edge of the road above the inner edge is 40 cm high? [given \(g=\mathrm{1 0} \mathrm{ms}^{-2}\) ]
- A \(\mathrm{3 0} \mathrm{ms}^{-1}\)
- B \(\mathrm{3} \mathrm{ms}^{-1}\)
- C \(9 \mathrm{~ms}^{-1}\)
- D \(4.5 \mathrm{~ms}^{-1}\)
Answer & Solution
Correct Answer
(B) \(\mathrm{3} \mathrm{ms}^{-1}\)
Step-by-step Solution
Detailed explanation
For a vehicle moving on a banked road without skidding, the required centripetal force is provided by the horizontal component of the normal reaction. The angle of banking \(\theta\) is given by \(\tan \theta = \dfrac{h}{b}\), where \(h\) is the height of the outer edge above…
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