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  4. The breaking tension of a string is 10 N. A particle tied to it is rotated along a circle of radius 0.5 m The maximum speed with which particle can be rotated without breaking the string is (The mass of particle is 100 g )

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Q. The breaking tension of a string is $10\, N$. A particle tied to it is rotated along a circle of radius $0.5 \,m$ The maximum speed with which particle can be rotated without breaking the string is (The mass of particle is $100\, g )$

System of Particles and Rotational Motion

Solution:

$F_{\max }=\frac{m v_{\max }^{2}}{R}$
$v_{\max }=\sqrt{\frac{F_{\max } \cdot R}{m}}=\sqrt{\frac{10 N \times 0.5 m }{0.1 kg }}$
$=\sqrt{50} \,ms ^{-1}$