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When force F applied on m(1) and surface...

When force F applied on `m_(1)` and surface. Is `mu_(1)` and the coefficient of friction between `m_(1) and m_(2)` is `mu_(2).` What should be the minimum value of F so that there is no relative motion between `m_(1) and m_(2).`

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For System `a=(F-mu_(1)(m_(1)+m_(2))g)/(m_(1)+m_(2))`
For `m_(2),mu_(2)(m_(2)g)=m_(2)a=m_(2)((F-mu(m_(1)+m_(2))g)/(m_(1)+m_(2)))`
`impliesF_(min)=(m_(1)+m_(2))(mu_(1)+mu_(2))g`
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