Vector Diagram for Vehicle moving on curved Banked Road - Smarter Techniques

 

How to Draw a Vector Diagram for a Vehicle Moving on a Curved Banked Road? (Smarter Techniques)



   Banking means making the roadbed slightly inclined to the horizontal. This is done at curved roads for safe driving. Fig. A represents a cross section of a banked road along with a vehicle on a curved road.

    Fig A

Consider a vehicle of mass m moving with velocity v on a curved road of radius r and banked at an angle of Ө.

 

The normal reaction by the roadbed on the vehicle N is resolved into NsinӨ and NcosӨ.

 NsinӨ acts as a centripetal force mv/r on the vehicle.

                ∴  NsinӨ = mv2 /r

  and NcosӨ = mg = weight of vehicle.

Using these equations we get  

This is the safe velocity of a vehicle on a banked curved road.

In my blog related to

 How to Draw Diagrams in Physics  by Smarter Techniques,

 I have already discussed general guidelines for drawing diagrams on A4 sheets in a previous article.

So do you want to know 'How to Draw a Vector Diagram for a Vehicle Moving on a Curved Banked Road' using given guidelines?

Let us learn with the help of the following video the actual smarter method of drawing the diagram.



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