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3-2.Motion in Plane
medium
A string of length $L$ is fixed at one end and carries a mass $M$ at the other end. The string makes $2/\pi$ revolutions per second around the vertical axis through the fixed end as shown in the figure, then tension in the string is
A$ML$
B$2 \,ML$
C$4\, ML$
D$16 \,ML$
Solution
(d) $T\sin \theta = M{\omega ^2}R$…(i)$T\sin \theta = M{\omega ^2}L\sin \theta $…(ii)
From (i) and (ii)
$T = M{\omega ^2}L$
$ = M\,4{\pi ^2}{n^2}L$
$ = M\,4{\pi ^2}{\left( {\frac{2}{\pi }} \right)^2}L$
$ = 16\,ML$
Standard 11
Physics
