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  • Three hollow cylinders each of mass M and radius R are arranged as shown in the figure. If the moment of inertia of the system about an axis passing through the central line is nMR2

Three hollow cylinders each of mass M and radius R are arranged as shown in the figure. If the moment of inertia of the system about an axis passing through the central line is nMR2 then find n?

Option: 1

5


Option: 2

7


Option: 3

11


Option: 4

8


Answers (1)

best_answer

As we have learned

Moment of inertia for hollow cylinder -

I= MR^{2}

- wherein

About axis passing through central line.

 

 moment of inertia passing through central line of one cylinder A 

I_1 = MR^2

moment of inertia of cylinder B about that axis 

I_2 =I_c+ Md^2 \Rightarrow MR^2 + M(2R)^2 \\\\ I_2 = 5MR^2 \\\\ I_{ net} = I_1 + I_2 + I_2 \Rightarrow MR^2 + 5MR^2 + 5MR^2\\\\ I_{net} = 11MR^2

\\ \because I =nMR^2 \\ \therefore n=11

 

 

 

 

 

Posted by

Ajit Kumar Dubey

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