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Sudip Ghosh Grade: 12
        A particle is projected with velocity u,making an angle x with horizontal, such that it touches four points of regular hexagon of side length H,find the value of x.
7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Sudip


 


6496-2144_7662_untitled.JPG


dear to ensure that it passes through 4 point it is sufficient to proof that it passses through A and B and C is the maximum point of parabola


by symmetry it will also passe through the rest two point shown in figure


now co ordinate of A(R/2-H,H√3/2)


co ordinate of point B(R/2-H/2 ,H√3)


where R is the range of parabola


now we know


Y=Xtanx -gX2/2u2cosx


now put above two point two equation will form


subtract both equation.


and you can get the value of x






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Badiuddin


 

7 years ago
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