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  • A system of uniform cylinders and plates is shown in figure. All the cylinders are identical and there is no slipping at any contact. Velocity of lower and upper plate is <img alt="\mathrm{v \: and

A system of uniform cylinders and plates is shown in figure. All the cylinders are identical and there is no slipping at any contact. Velocity of lower and upper plate is \mathrm{v \: and \: 2 V} respectively as shown in figure. The ratio of angular speed of the leper cylinders to lower cylinders is: -

Option: 1

4


Option: 2

3


Option: 3

5


Option: 4

\frac{1}{3}


Answers (1)

best_answer

Angular speed of lower cylinder, \mathrm{\omega_1=\frac{v-0}{2 R}}

Angular speed of upper cylinder -

\mathrm{ \omega_2=\frac{(2 v+v)}{2 R}=\frac{3 v}{2 R} }

Now, \mathrm{ \frac{\omega_2}{\omega_1}=\frac{3 v / 2 R}{v / 2 R} \Rightarrow \frac{3 v}{2 R} \times \frac{2 R}{v} }

\mathrm{ \frac{\omega_2}{\omega_1}=\frac{3}{1} }

Hence option 2 is correct.



 

Posted by

avinash.dongre

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