A string of length ' $\ell$ ' fixed at one end carries a mass 'm' at the other end. The string makes…

A string of length ' $\ell$ ' fixed at one end carries a mass 'm' at the other end. The string makes $\frac{3}{\pi}$ revolutions / second around the vertical axis through the fixed end as shown in figure. The tension 'T' in the string is

1. $36 \mathrm{~m} \ell$
2. $3 \mathrm{~m} \boldsymbol{\ell}$
3. $9 \mathrm{~m} \ell$
4. $18 \mathrm{~m} \ell$

Solution

$\omega=\frac{3}{\pi} \varepsilon p s=6 \mathrm{rad} / 8 .$ $T=m \omega^{2} \ell$ $=36 m .$

Asked in: MHT CET 2020 (13 Oct Shift 2)

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