Banked Road Forces Quiz

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Questions and Answers

In the context of the given equations, what does the term 'μ' represent?

  • Resultant of frictional forces
  • Angle of banking
  • Coefficient of friction (correct)
  • Weight of the vehicle

Based on the equations, what is the expression for the resultant of horizontal components (f cos θ + N sin θ)?

  • $mg \cos \theta$
  • $mv^2/r$
  • $f \cos \theta + N \sin \theta$ (correct)
  • $N \cos \theta + f \sin \theta$

What is the equation for finding the angle of banking (θ) for the maximum velocity (v) on a banked road?

  • $\tan\theta = (v^2 - μrg)/(rg + μv^2)$
  • $v^2 = rg(μ+ \tan\theta)/(1-μ\tan\theta)$ (correct)
  • $f = μN$
  • $N = mg/\cos\theta - μ\sin\theta$

What does the equation N cos θ + f sin θ = mg represent in the context of forces on a banked road?

<p>Net external force acting radially inward (D)</p> Signup and view all the answers

What does tan θ = (v2 - μrg)/(rg + μv2) represent in the context of a banked road?

<p>Equation for maximum velocity (A)</p> Signup and view all the answers

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