Find the acceleration of the two blocks The system initally at rest and the friction coefficient are as shown in fig 7.140? Also find maximum `F` for which two blocks will move togather Given `m_(A) = 10 kg and m_(B) = 20 kg`

Explanation

`a = (60)/(30) = 2 ms^(-2) ` No need to calculate
Check friction on `20 kg`
`f = 20 xx 2 = 40` (which is required)
`40 lt 50` (therefore required lt available)lt brgt Therefore . Will move together.
observeing the critical situation where friction because limiting

` :. F - f_(max) = 10a`.....(1)
`f_(max) = 20a`....(2)
`:. F = 75 N`