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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="\upsilon" src="h

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 \upsilon and 2\upsilon respectively as shown in figure. The ratio of angular speed of the upper cylinders to lower cylinders is:-

Option: 1

4


Option: 2

3


Option: 3

5


Option: 4

1/3


Answers (1)

best_answer

Angular speed of lower

\mathrm{cylinder, \omega_{1}=\frac{v-0}{2 R}}


Angular speed of upper cylinder -

\mathrm{\omega_{2}=\frac{(2 \upsilon +\upsilon )}{2 R}=\frac{3 \upsilon }{2 R}}
Now,
\mathrm{\frac{\omega_{2}}{\omega_{1}}=\frac{3 \upsilon / 2 R}{\upsilon / 2 R} \Rightarrow \frac{3 \upsilon }{2 R} \times \frac{2 R}{\upsilon }}
\mathrm{\frac{\omega_{2}}{\omega_{1}}=\frac{3}{1}}  Ans.

Posted by

Deependra Verma

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