Rotational Motion Question 1
Question 1 - 2024 (01 Feb Shift 1)
A ball of mass $0.5 \mathrm{~kg}$ is attached to a string of length $50 \mathrm{~cm}$. The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is $400 \mathrm{~N}$. The maximum possible value of angular velocity of the ball in $\mathrm{rad} / \mathrm{s}$ is,:
(1) 1600
(2) 40
(3) 1000
(4) 20
Show Answer
Answer: (2)
Solution:
$\mathrm{T}=\mathrm{m} \omega^{2} \ell$
$400=0.5 \omega^{2} \times 0.5$
$\omega=40 \mathrm{rad} / \mathrm{s}$.
