Two particles A and B are at (0, -a) and (0, 0). At a certain instant 'B' starts moving with constant velocity ui. ^ At the same instant A starts moving with the same speed such that its vel

Question

Two particles A and B are at (0, -a) and (0, 0). At a certain instant 'B' starts moving with constant velocity ui. ^ At the same instant A starts moving with the same speed such that its velocity is always directed toward B . The distance between the two particles, at the instant when velocity of A is at angle 6 0 o with the x-axis, is x 2 a ​ . Find the value of x.

TestHub · Accepted Answer

Use relative polar motion with pursuer speed equal to target speed.

$\frac{d r}{d θ} = r cot (θ /2)$

Integrate from the initial geometry to the instant when the pursuer velocity makes 60 degrees with x-axis.

$r = \frac{2 a}{3}$

$x = 3$

Physics - Kinematics Question with Solution | TestHub

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