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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 & 3W//4`

B

`W//4 & W//4`

C

`3W//4 & 3W//4`

D

`W &W`

Text Solution

Verified by Experts

The correct Answer is:
C

`r=5cm,R=8cm`
`FBD` of sphere 1

`N_(1)=W+N_(3)sintheta`
`N_(2)=N_(3)cos theta`
`FBD` of sphere 2

`AC=2R-2r`
`AB=2r`
`cos theta=(AC)/(AB)=(R-r)/(r)`
`N_(4)=N_(3)cos theta`
`W=N_(3)sin theta`
Ans. `N_(4)=W cot theta `
`N_(2)=w cosec theta`
`N_(1)=2W`
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