JEE PYQ: Motion In Two Dimensions Question 8
Question 8 - 2020 (02 Sep Shift 1)
A bead of mass $m$ stays at point $P(a, b)$ on a wire bent in the shape of a parabola $y = 4Cx^2$ and rotating with angular speed $\omega$ (see figure). The value of $\omega$ is (neglect friction):
(a) $2\sqrt{2gC}$ (b) $2\sqrt{gC}$ (c) $\sqrt{\frac{2gC}{ab}}$ (d) $\sqrt{\frac{2g}{C}}$
Show Answer
Answer: (a)
Solution
$\tan\theta = 8Ca$. For steady circular motion: $\omega = \sqrt{g\tan\theta / a} = \sqrt{8gC} = 2\sqrt{2gC}$.
BETA
