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  • Two blocks of masses 'm' and ' 2m ' are connected through a wire of breaking stress f0 passing over a friction less pulley. The maximum radius of wire to be used so

Two blocks of masses 'm' and ' 2m ' are connected through a wire of breaking stress f0 passing over a friction less pulley. The maximum radius of wire to be used so that the wire may not break is

Option: 1

\sqrt{\frac{3 m g}{4 \pi f_0}}


Option: 2

\sqrt{\frac{4 m g}{3 f_0}}


Option: 3

\sqrt{\frac{ m g}{2 \pi f_0}}


Option: 4

\sqrt{\frac{4 m g}{3 \pi f_0}}


Answers (1)

best_answer

Tension in wire,T=\frac{2\, m_1 \,m_2 \,g}{m_1+m_2}


T=\frac{2(2 m) m g}{2 m+m}=\frac{4 m g}{3}

using, \quad T =f_0 A \\
              =f_0 \times \pi r^2 \\
\therefore \quad r =\sqrt{\frac{T}{\pi f_0}}=\sqrt{\frac{4 m g}{3 \pi f_0}}

Posted by

Riya

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