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Two smooth sphere each of radius 5cm and...

Two smooth sphere each of radius 5cm and weight `W` rest one on the other inside a fixed smooth cylinder of radius 8cm. The reaction between the sphere and the vertical side of the cylinder are:

A

`(W)/(4)` and `(3W)/(4)`

B

`(W)/(4)` and `(W)/(4)`

C

`(3W)/(4)` and `(3W)/(4)`

D

W and W

Text Solution

Verified by Experts

The correct Answer is:
C



The FBDs of A and B are:
For the forizontal equilibrium of the system (A and B):
`N_(AW)=N_(BW)`
and by diagrams:
`costheta=(6)/(10)impliestheta=53^@`
Applying NLM on sphere B
`impliesN_(AB)sintheta=w`
and `N_(BW)=N_(AB)costheta=(w)/((4)/(5))xx(3)/(5)=(3w)/(4)`
So `N_(AW)=N_(BW)=(3w)/(4)`
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