JEE PYQ: Laws Of Motion Question 26
Question 26 - 2019 | 12 Apr Shift 1] (MCQ)
A uniform rod of length $l$ is being rotated in a horizontal plane with a constant angular speed about an axis passing through one of its ends. If the tension generated in the rod due to rotation is $T(x)$ at a distance $x$ from the axis, then which of the following graphs depicts it most closely?
(1) Linear decrease
(2) Concave curve
(3) Convex curve decreasing to zero
(4) Parabolic curve [Correct]
Show Answer
Answer: (4)
Solution
$T = \frac{m\omega^2}{2l}(l^2 - x^2)$. This is a parabola.
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