A particle moves along the plane trajectory y (x) with velocity v whose modulus is constant. Find the curvature radius of the trajectory at that point x = 0, if the trajectory has the form of a parabola y = 
x 2 .
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(R = 5)
Sol. Parabola y = ax 2 is shown. It is clear from diagram that at x = 0 velocity is along x-axis and constant
a N is along y-axis. So,
a N = 
= 2a × 
= 2aVx
= 2av 
= 2av 2 ( 
)
a N = 2av 2
R = 
= 
.
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