Recent content by Vatsal Sanjay

  1. Vatsal Sanjay

    What are the ##\vec{u}_r## and ##\vec{u}_θ## vectors?

    I must have used the word azimuthal. Thanks for pointing out.
  2. Vatsal Sanjay

    What are the ##\vec{u}_r## and ##\vec{u}_θ## vectors?

    ur is the vector along the radial velocity direction of the particle and u## \theta ## is the vector along the tangential velocity direction. when you will differentiate the radius vector (as given in polar coordinates); you will get two components of velocity; one along the radius vector...
  3. Vatsal Sanjay

    Why is the shape of an object not considered in motion on an inclined plane?

    We do take those factors into account. See toppling.
  4. Vatsal Sanjay

    How to determine shape of surface of a fluid?

    I agree. You are correct. I will reframe my statement. Whatever I said is true only for fluid statics, that is when there is no relative motion between the container and the fluid kept in it.
  5. Vatsal Sanjay

    How to determine shape of surface of a fluid?

    I differ in perceiving the statement your teacher gave. The surface of the fluid is always perpendicular to the net "external" (actual plus inertial) force acting on the surface in the frame of reference of the container in which it is kept.
  6. Vatsal Sanjay

    Ellipse Collisions: Resolving the Paradox

    Are you suggesting we change the figure? If you stretch or do something with you current surfaces, you will get "new" surfaces. In that case your eclipses are no longer eclipses. See there is a difference between rotating your current figure and looking at it at different angles and stretching...
  7. Vatsal Sanjay

    Ellipse Collisions: Resolving the Paradox

    Yes they are. Exactly at what angle do you expect to see these as circles? Is it not possible that at that angle these two lines (orange and yellow as you mentioned) coincide? (*Just a guess). It would be of great help if you can explain exactly what angle are you talking about? Whenever...
  8. Vatsal Sanjay

    Does the angle of a ramp with the ground affect velocity?

    Ok! I think I need to reframe my statement for marble case. There won't be any problem if the ramp is frictionless. The marble will simply slide down. However, if there is friction. The is going to be a specific value of friction for which the ball will be in state of pure rolling (I can go...
  9. Vatsal Sanjay

    Does the angle of a ramp with the ground affect velocity?

    My bad. I must have noticed. :(
  10. Vatsal Sanjay

    Does the angle of a ramp with the ground affect velocity?

    Why do you think so? If I am not wrong, the work done by friction (or say the energy dissipated by friction); assumed kinetic will depend on the horizontal distance between the starting and ending points. Now if you wish to change ramp angle without changing height, you will need to change the...
  11. Vatsal Sanjay

    Does the angle of a ramp with the ground affect velocity?

    No, you are not the only one. Mr Davis 97 must have corrected it to speed by now. I think he meant speed. As per the answer to the question (modified); speed at the bottom will not be dependent on the angle of the ramp, provided that There is no friction. The height of the topmost point on...
  12. Vatsal Sanjay

    Carburetor's Future: Auto-mobiles Moving Away?

    Yes! We always do that.
  13. Vatsal Sanjay

    Carburetor's Future: Auto-mobiles Moving Away?

    Is there a proper experimental study or theoretical analysis to comply this? Or is it just an observation?
  14. Vatsal Sanjay

    Carburetor's Future: Auto-mobiles Moving Away?

    This really helped. Thanks a lot! P.S. I loved the smell of those pesky unburned hydrocarbons.
  15. Vatsal Sanjay

    Carburetor's Future: Auto-mobiles Moving Away?

    I recently heard from my professor that the carburettors are getting obsolete in terms of their use in modern days auto-mobiles. Auto-mobile manufacturers are moving towards alternatives like direct fuel injection into the intake manifold or intake ports even if the fuel is gasoline. Is it...
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