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Q.

The 4kg block in the figure is attached to the vertical rod by means of two strings. When the system rotates about the axis of the rod, the two strings are extended as indicated in figure. Angular velocity of system  in order that the tension in upper string is 60 N is  ω. The value of ω2  is )(g=10 m/s2)
                                                             
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answer is 14.

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Detailed Solution

The forces acting on block P of mass is 4kg are shown in the figure  θ is the angle made by strings for equilibrium in the vertical direction                
 T1cosθ=T2cosθ+mg(T1T2)cosθ=mgcosθ=11.25=45      [cosθ=OAAP=11.25]T1T2=mgcosθ=5mg4
 T1sinθ+T2sinθ=mrω2

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The 4kg block in the figure is attached to the vertical rod by means of two strings. When the system rotates about the axis of the rod, the two strings are extended as indicated in figure. Angular velocity of system  in order that the tension in upper string is 60 N is  ω. The value of ω2  is )(g=10 m/s2)