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A sphere of radius R rolls without slipp...

A sphere of radius `R` rolls without slipping between two planks as shown in figure. Find
`(a)` Speed of centre of sphere
`(b)` Angular velocity of the sphere

Text Solution

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For no slipping at upper plank
`V+R omega=V_(1)`…..`(1)`
For no slipping at bottom plank
`V-Romega=V_(2)`………`(2)`
Solving the two equations
`V=(V_(1)+V_(2))/(2)`
`omega=(V_(1)-V_(2))/(R )`
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