Physics Two Dimensional Motion Question 102
Question: A stone of mass m is tied to a string and is moved in a vertical circle of radius r making n revolutions per minute.The total tension in the string when the stone is at its lowest point is
[Kerala (Engg.) 2001]
Options:
A) $ mg $ B)$ m(g+\pi ,n,r^{2}) $ C) $ m(g+\pi ,n,r) $ D)$ m{g+({{\pi }^{2}},n^{2},r)/900} $
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Answer:
Correct Answer: D
Solution:
$ T=mg+m{{\omega }^{2}}r=m{g+4{{\pi }^{2}}n^{2}r} $
$ =m{ g+( 4{{\pi }^{2}}{{( \frac{n}{60} )}^{2}}r ) }=m{ g+( \frac{{{\pi }^{2}}n^{2}r}{900} ) } $
BETA
