Physics Two Dimensional Motion Question 90
Question: A weightless thread can support tension upto 30 N. A stone of mass 0.5 kg is tied to it and is revolved in a circular path of radius 2 m in a vertical plane. If $ g=10m/s^{2} $ , then the maximum angular velocity of the stone will be
[MP PMT 1994]
Options:
A) $ 5,,rad/s $ B)$ \sqrt{30},rad/s $ C) $ \sqrt{60},rad/s $ D)$ 10,rad/s $
Show Answer
Answer:
Correct Answer: A
Solution:
$ T _{\max }=m\omega _{^{\max }}^{2}r+mg $
Therefore $ \frac{T _{\max }}{m}={{\omega }^{2}}r+g $
Therefore $ \frac{30}{0.5}-10={{\omega }^{2}} _{\max }r $
Therefore $ {\omega _{\max }}=\sqrt{\frac{50}{r}}=\sqrt{\frac{50}{2}}=5,rad/s $
BETA
