Question:

If the over bridge is concave instead of being convex. The thrust on the road at the highest position will be :

Updated On: Jun 7, 2022
  • $ \frac{{{m}^{2}}{{\upsilon }^{2}}g}{r} $
  • $ \frac{{{\upsilon }^{2}}g}{r} $
  • $ mg+\frac{m\upsilon }{r} $
  • $ mg-\frac{m{{\upsilon }^{2}}}{r} $
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The Correct Option is C

Solution and Explanation

Answer (c) $ mg+\frac{m\upsilon }{r} $
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Concepts Used:

Motion in a Plane

It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions. 

Equations of Plane Motion

The equations of motion in a straight line are:

v=u+at

s=ut+½ at2

v2-u2=2as

Where,

  • v = final velocity of the particle
  • u = initial velocity of the particle
  • s = displacement of the particle
  • a = acceleration of the particle
  • t = the time interval in which the particle is in consideration