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  • A string is wrapped around a solid cylinder and then the end of the string is held stationary, while the cylinder is released from rest. The acceleration of the cylinder and tension in the string -

A string is wrapped around a solid cylinder and then the end of the string is held stationary, while the cylinder is released from rest. The acceleration of the cylinder and tension in the string -


 

Option: 1

\mathrm{Mg}, \mathrm{g} / 4


 


Option: 2

2 \mathrm{Mg}, 2 \mathrm{~g}


Option: 3

\mathrm{\frac{m g}{2}, g / 2}
 


Option: 4

\mathrm{\frac{M g}{3}, \frac{2 g}{3}}


Answers (1)

best_answer

Use, \mathrm{a=\frac{\text { Unbalanced load }}{\text { total inertia }}}

           \mathrm{ =\frac{M g}{M+\frac{I}{R^2}} }

        \mathrm{ a =\frac{M g}{M+\frac{M R^2 / 2}{R^2}} \Rightarrow 2 \frac{g}{3}}

Tension, \mathrm{ T=m(g-a)=M\left(g-\frac{2 g}{3}\right)}
                                        \mathrm{ =\frac{M g}{3} }

Hence option 4 is correct.

Posted by

sudhir kumar

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