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Question

At a curved path of the road, the road bed is raised a little on the side away from the centre of the curved path. The slope of the road bed is given by
  1. tanθ=v2/rg
  2. tanθ=r/gv2
  3. tanθ=rg/v2
  4. tanθ=v2g/r

A
tanθ=rg/v2
B
tanθ=v2/rg
C
tanθ=v2g/r
D
tanθ=r/gv2
Solution
Verified by Toppr

As shown in the given diagram, the road bed has been raised by an angle θ.
Applying Newton's laws in horizontal and vertical directions. we get
Nsinθ=mv2r ... (I) and Ncosθ=mg ... (II)
by dividing (I) by (II), we get
tanθ=v2rg

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