1.

A rough L- shaped rod is located in a horizontal plane and a sleeve of mass m is inserted in the rod. The rod is rotated with a constant angular velocity omega in the horizontal plane. The length l_(1) andl_(2) are shown in figure. The normal reaction and frictional force acting on the sleeve when it starts slipping are (mu: coefficient of friction between rod and sleeve)

Answer»

`N=MOMEGA^(2)l_(1)`
`OMEGA^(4)=(mu^(2)g^(2))/(l_(2)^(2)-mu^(2)l_(1)^(2))`
`N=msqrt(g^(2)+omega^(4)l_(1)^(2))`
`f=muN`

SOLUTION :`N_(1)^(2)+N_(2)^(2)=N^(2)`
`N_(2)=mg`
`momega^(2)xxsinphi=`
`f=momega^(2)l_(2)`
`N_(1)=momega^(2)l_(1)`


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