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Two block tied with a massless string of...

Two block tied with a massless string of length `3m` are placed on a rotating table as shown. The axis of rotation is `1m` from `1kg` mass and `2m` from `2kg` mass. The angular speed
`omega=4rad//s` . Ground below `2kg` block is smooth and below `1kg` block is rough. `(g=10m//s^(2))`
(a) Find tension in the string, force of friction on `1kg` block and its direction.
If coefficient of friction between `1kg` block and groung is `mu=0.8` Find maximum angular speed so that neither of the blocksd slips.
(c) If maximum tension in the string can be `100N` , then maximum angular speed so that neither of the blocks slips.

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