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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{\mathrm{Mg}, g / 4}
 


Option: 2

\mathrm{2 m g, 2 g}
 


Option: 3

\mathrm{\frac{m g}{2}, g / 2}
 


Option: 4

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


Answers (1)

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 \frac{2 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

Ramraj Saini

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