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