radius of curvature

A particle is projected with velocity u at an angle q with the horizontal . Find the radius of curvature of the parabola traced out by the particle at the point where velocity makes an angle q/2 with the horizontal.

plzz give the full soln....

8 Answers

1
darshan yadav ·

hi friend in these ques you have to youse idea that
in circularl motin acc=v2/r where r is radius of curvature.
nw in this problem first you find velocity at that point yousing cocept that horizontal velocity remains same.
here acc g and v is perpendicular velocity (component ) to acc.

6
AKHIL ·

thnx!!:D

1
prateek mehta ·

Radius of curvature at that instant is:

[ucos(q/2)]2g

6
AKHIL ·

no
it wud be u2cos2q / gcos3q/2

1
Hodge Conjecture ·

yup ans. comes out to be u2cos2q g cos3 (q/2)

1
ujjwalkalra kalra ·

r={1+dy/dx}/d2y/dx2
this will give u radius of curvature..

1
Euclid ·

@ujjwalkalra the xpressin radius of curvature should be

r = \frac{[1+(\frac{dy}{dx})^{2}]^{\frac{3}{2}}}{\frac{d^{2}y}{dx^{2}}}

1
ujjwalkalra kalra ·

oops sorry yar in hurry i missed it..sory to all and thx euclid

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