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AP EAMCET · PHYSICS · Laws of Motion

When a vehicle of mass \(m\) is moving with a velocity \(v\) over a concave over-bridge of radius of curvature \(r\), the thrust on the road at the lowest point on the bridge will be

  1. A \(m g+\frac{m v^2}{r}\)
  2. B \(m g-\frac{m v^2}{r}\)
  3. C \(\frac{m^2 v^2 g}{r}\)
  4. D \(\frac{v^2 g}{r}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(m g+\frac{m v^2}{r}\)

Step-by-step Solution

Detailed explanation

Let the mass of the vehicle be \(m\) and velocity of the vehicle be \(v\), the radius of curvature of over-bridge be \(r\). The centripetal force on the vehicle \(=\frac{m v^2}{r}\) The thrust on the road at lowest point, \(F_{\text {Net }}=\) weight of the vehicle + centripetal…
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